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Find the analytic function f (z) as a function of z given that the sum of its real and imaginary parts is x^3-y^3+3xy(x-y)

Find the analytic function f (z) as a function of z given that the sum of its real and imaginary parts is x^3-y^3+3xy(x-y) Problem Question Find the analytic function f (z) as a function of z given that the sum of its real and imaginary parts is x^3-y^3+3xy(x-y) Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its…

Find the analytic function f (z) =u+iv given u-v=e^x (cosy-siny)

Find the analytic function f (z) =u+iv given u-v=e^x (cosy-siny) Problem Question Find the analytic function f (z) =u+iv given u-v=e^x (cosy-siny) Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex Variables Type 4 -…

Show that u=(r+1/r) cos(theta) is harmonic. Find its harmonic conjugate and also the corresponding analytic function

Show that u=(r+1/r) cos(theta) is harmonic. Find its harmonic conjugate and also the corresponding analytic function Problem Question Show that u=(r+1/r) cos(theta) is harmonic. Find its harmonic conjugate and also the corresponding analytic function Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate…

Given that u=x^2+4x-y^2+2y as the real part of an analytic function, find v and hence find f (z) in terms of z

Given that u=x^2+4x-y^2+2y as the real part of an analytic function, find v and hence find f (z) in terms of z Problem Question Given that u=x^2+4x-y^2+2y as the real part of an analytic function, find v and hence find f (z) in terms of z Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or…

Show that u=e^x (x cosy-y siny) is harmonic and find its harmonic conjugate. Also determine the corresponding analytic function

Show that u=e^x (x cosy-y siny) is harmonic and find its harmonic conjugate. Also determine the corresponding analytic function Problem Question Show that u=e^x (x cosy-y siny) is harmonic and find its harmonic conjugate. Also determine the corresponding analytic function Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3…

Determine which of the following function is harmonic and find the conjugate harmonic function and express u+iv as an analytic function of z.(a) v=log sqrt(x+y) (b) v=cos x sinhy

Determine which of the following function is harmonic and find the conjugate harmonic function and express u+iv as an analytic function of z.(a) v=log sqrt(x+y) (b) v=cos x sinhy Problem Question Determine which of the following function is harmonic and find the conjugate harmonic function and express u+iv as an analytic function of z.(a) v=log sqrt(x+y) (b) v=cos x sinhy Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in…

Show that u=x^3-3xy^2+3x^2-3y^2+1 is harmonic and find its harmonic conjugate. Also find the corresponding analytic function f (z)

Show that u=x^3-3xy^2+3x^2-3y^2+1 is harmonic and find its harmonic conjugate. Also find the corresponding analytic function f (z) Problem Question Show that u=x^3-3xy^2+3x^2-3y^2+1 is harmonic and find its harmonic conjugate. Also find the corresponding analytic function f (z) Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps…

Steps for Analytic Functions not Categorized in any types in Complex Variables

Steps for Analytic Functions not Categorized in any types in Complex Variables Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex Variables Type 4 - Steps for Analytic Functions not Categorized in any types in…

Steps to find the conjugate harmonic function and the analytic function in Complex Variables

Steps to find the conjugate harmonic function and the analytic function in Complex Variables Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex Variables Type 4 - Steps for Analytic Functions not Categorized in any…

A 3∅, 4 pole, 50 Hz star connected alternator has an armature with 2 slots per pole per phase and 40 conductors per slot. Calculate the EMF generated if the flux per pole is 0.06 wb distributed sinusoidally

A 3∅, 4 pole, 50 Hz star connected alternator has an armature with 2 slots per pole per phase and 40 conductors per slot. Calculate the EMF generated if the flux per pole is 0.06 wb distributed sinusoidally Problem Question A 3∅, 4 pole, 50 Hz star connected alternator has an armature with 2 slots per pole per phase and 40 conductors per slot. Calculate the EMF generated if the flux per pole is 0.06 wb distributed sinusoidally Topic Alternators…

A 6 pole, 3∅, 50 Hz alternator has 12 slots per pole & 4 conductors per slot. The winding is 5/6 full pitched, a flux of 25 mwb is sinusoidally distributed along the air gap. Determine the line EMF, if the alternator is star connected

A 6 pole, 3∅, 50 Hz alternator has 12 slots per pole & 4 conductors per slot. The winding is 5/6 full pitched, a flux of 25 mwb is sinusoidally distributed along the air gap. Determine the line EMF, if the alternator is star connected Problem Question A 6 pole, 3∅, 50 Hz alternator has 12 slots per pole & 4 conductors per slot. The winding is 5/6 full pitched, a flux of 25 mwb is sinusoidally distributed along the…

A 2 pole, 3∅ running at 3000 rpm has 42 slots with 2 conductors per slot. Calculate the flux per pole required to generate a line voltage of 2300 V. Assume Kd=0.952, Kp=0.956. The armature is star connected

A 2 pole, 3∅ running at 3000 rpm has 42 slots with 2 conductors per slot. Calculate the flux per pole required to generate a line voltage of 2300 V. Assume Kd=0.952, Kp=0.956. The armature is star connected Problem Question A 2 pole, 3∅ running at 3000 rpm has 42 slots with 2 conductors per slot. Calculate the flux per pole required to generate a line voltage of 2300 V. Assume Kd=0.952, Kp=0.956. The armature is star connected Topic Alternators…

A 3Φ, 4 pole, 50Hz star connected alternator has 36 slots with 30 conductors per slots. The useful flux per pole is 0.05 wb. Find synchronous speed and line voltage on no-load. Assume Kw=0.96

A 3Φ, 4 pole, 50Hz star connected alternator has 36 slots with 30 conductors per slots. The useful flux per pole is 0.05 wb. Find synchronous speed and line voltage on no-load. Assume Kw=0.96 Problem Question A 3Φ, 4 pole, 50Hz star connected alternator has 36 slots with 30 conductors per slots. The useful flux per pole is 0.05 wb. Find synchronous speed and line voltage on no-load. Assume Kw=0.96 Topic Alternators Alternators Problems A 12 pole 500 rpm, star…

The stator of a 3∅, 8 pole, 750 rpm alternator has 72 slots, each of which contains 10 conductors. Calculate the RMS values of EMF per phase is flux per pole is 0.1 wb sinusoidally distributed. Assume full pitch coils and Kd as 0.96

The stator of a 3∅, 8 pole, 750 rpm alternator has 72 slots, each of which contains 10 conductors. Calculate the RMS values of EMF per phase is flux per pole is 0.1 wb sinusoidally distributed. Assume full pitch coils and Kd as 0.96 Problem Question The stator of a 3∅, 8 pole, 750 rpm alternator has 72 slots, each of which contains 10 conductors. Calculate the RMS values of EMF per phase is flux per pole is 0.1 wb…

A 6 pole Υ connected, 3phase, 50Hz alternator has 12 slots per pole and 4 conductors per slot. A flux of 25mwb is sinusoidally distributed along the air gap. Determine the (i) Phase EMF (ii) Line EMF. Assume coils are full pitched and winding factor as 0.96

A 6 pole Υ connected, 3phase, 50Hz alternator has 12 slots per pole and 4 conductors per slot. A flux of 25mwb is sinusoidally distributed along the air gap. Determine the (i) Phase EMF (ii) Line EMF. Assume coils are full pitched and winding factor as 0.96 Problem Question A 6 pole Υ connected, 3phase, 50Hz alternator has 12 slots per pole and 4 conductors per slot. A flux of 25mwb is sinusoidally distributed along the air gap. Determine the…

A 3∅, 6 pole star connected alternator has an armature with 90 slots and 12 conductors per slot, it revolves at 1000 rpm, the flux per pole being 0.05 wb. Calculate the line value of the EMF generated, if K_d = 0.96 and K_p = 0.97

A 3∅, 6 pole star connected alternator has an armature with 90 slots and 12 conductors per slot, it revolves at 1000 rpm, the flux per pole being 0.05 wb. Calculate the line value of the EMF generated, if = 0.96 and = 0.97 Problem Question A 3∅, 6 pole star connected alternator has an armature with 90 slots and 12 conductors per slot, it revolves at 1000 rpm, the flux per pole being 0.05 wb. Calculate the line value…

A 12 pole 500 rpm, star connected alternator has slots with 15 conductors per slot. The flux per pole is 0.02 wb .The winding factor is 0.97 and pitch factor is 0.98. Calculate the phase EMF and line EMF

A 12 pole 500 rpm, star connected alternator has slots with 15 conductors per slot. The flux per pole is 0.02 wb .The winding factor is 0.97 and pitch factor is 0.98. Calculate the phase EMF and line EMF Problem Question A 12 pole 500 rpm, star connected alternator has slots with 15 conductors per slot. The flux per pole is 0.02 wb .The winding factor is 0.97 and pitch factor is 0.98. Calculate the phase EMF and line EMF…

Alternators

Alternators Important Formulae to remember Topic Alternators Examples A 12 pole 500 rpm, star connected alternator has slots with 15 conductors per slot. The flux per pole is 0.02 wb .The winding factor is 0.97 and pitch factor is 0.98. Calculate the phase EMF and line EMF A 3∅, 6 pole star connected alternator has an armature with 90 slots and 12 conductors per slot, it revolves at 1000 rpm, the flux per pole being 0.05 wb. Calculate the line…

Construct the analytic function whose real part is r^2 cos 2theta

Construct the analytic function whose real part is r^2 cos 2theta Problem Question Construct the analytic function whose real part is r^2 cos 2theta Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex Variables Type…

Determine the analytic function f (z) =u+iv given that the real part u=e^2x (x cos(2y-y sin2y))

Determine the analytic function f (z) =u+iv given that the real part u=e^2x (x cos(2y-y sin2y)) Problem Question Determine the analytic function f (z) =u+iv given that the real part u=e^2x (x cos(2y-y sin2y)) Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate…