An 8 pole 3∅ alternator runs at 750 rpm and supplies power to 6 pole 3∅ induction motor which runs at 970 rpm. What is the slip of the induction motor?

An 8 pole 3∅ alternator runs at 750 rpm and supplies power to 6 pole 3∅ induction motor which runs at 970 rpm. What is the slip of the induction motor? Problem Question An 8 pole 3∅ alternator runs at 750 rpm and supplies power to 6 pole 3∅ induction motor which runs at 970 rpm. What is the slip of the induction motor? Topic Induction Motor Induction Motor Problems The frequency of the EMF in the stator of a…

A 3∅, 6 pole, 50 Hz Induction motor has a slip of 1% at no load and 3% at full load. Determine (i)Synchronous speed, (ii)No load speed, (iii)Full load speed, (iv)Frequency of rotor current at stand still (v)Frequency of rotor current at full load

A 3∅, 6 pole, 50 Hz Induction motor has a slip of 1% at no load and 3% at full load. Determine (i)Synchronous speed, (ii)No load speed, (iii)Full load speed, (iv)Frequency of rotor current at stand still (v)Frequency of rotor current at full load Problem Question A 3∅, 6 pole, 50 Hz Induction motor has a slip of 1% at no load and 3% at full load. Determine (i)Synchronous speed, (ii)No load speed, (iii)Full load speed, (iv)Frequency of rotor current…

A 3 ∅ induction motor with 4 poles is supplied from the alternator having 6 poles running at 1000 rpm. Calculate synchronous speed of the induction motor its speed when slip is 0.04 and frequency of the rotor EMF when the speed is 600 rpm

A 3 ∅ induction motor with 4 poles is supplied from the alternator having 6 poles running at 1000 rpm. Calculate synchronous speed of the induction motor its speed when slip is 0.04 and frequency of the rotor EMF when the speed is 600 rpm Problem Question A 3 ∅ induction motor with 4 poles is supplied from the alternator having 6 poles running at 1000 rpm. Calculate synchronous speed of the induction motor its speed when slip is 0.04…

The frequency of the EMF in the stator of a 4 pole induction motor is 50 Hz and in the rotor is 1.5 Hz. What is the slip and what speed is the motor running?

The frequency of the EMF in the stator of a 4 pole induction motor is 50 Hz and in the rotor is 1.5 Hz. What is the slip and what speed is the motor running? Problem Question The frequency of the EMF in the stator of a 4 pole induction motor is 50 Hz and in the rotor is 1.5 Hz. What is the slip and what speed is the motor running? Topic Induction Motor Induction Motor Problems The frequency…

If a 6 pole Induction motor is supplied from a 3∅, 50 Hz supply has a rotor frequency of 2.3 Hz, Calculate (i) Percentage slip (ii) Speed of the motor

If a 6 pole Induction motor is supplied from a 3∅, 50 Hz supply has a rotor frequency of 2.3 Hz, Calculate (i) Percentage slip (ii) Speed of the motor Problem Question If a 6 pole Induction motor is supplied from a 3∅, 50 Hz supply has a rotor frequency of 2.3 Hz, Calculate (i) Percentage slip (ii) Speed of the motor Topic Induction Motor Induction Motor Problems The frequency of the EMF in the stator of a 4 pole…

Find the efficiency of 150 KVA, 1∅ transformer at (i) Full load UPF (ii) 50% of full load at 0.8 p.f, if the copper loss at full load is 1600 W and iron loss is 1400W

Find the efficiency of 150 KVA, 1∅ transformer at (i) Full load UPF (ii) 50% of full load at 0.8 p.f, if the copper loss at full load is 1600 W and iron loss is 1400W Problem Question Find the efficiency of 150 KVA, 1∅ transformer at (i) Full load UPF (ii) 50% of full load at 0.8 p.f, if the copper loss at full load is 1600 W and iron loss is 1400W Topic Transformer Transformer Problems The maximum…

A 20KVA, 1∅ transformer has 200 turns on primary and 40 turns on secondary. The primary is connected to 1000V, 50Hz supply. Find the secondary voltage, rated current flowing through two windings and the maximum value of flux

A 20KVA, 1∅ transformer has 200 turns on primary and 40 turns on secondary. The primary is connected to 1000V, 50Hz supply. Find the secondary voltage, rated current flowing through two windings and the maximum value of flux Problem Question A 20KVA, 1∅ transformer has 200 turns on primary and 40 turns on secondary. The primary is connected to 1000V, 50Hz supply. Find the secondary voltage, rated current flowing through two windings and the maximum value of flux Topic Transformer…

A 10KVA, 1∅ transformer has a primary winding of 300 turns and secondary winding of 750 turns, cross sectional area of 64 cm^2. If primary voltage is 440 V at 50 Hz, find maximum flux density in the core, EMF induced in the secondary of transformer. At 0.8 lag p.f, Calculate the efficiency of transformer if full load copper loss is 400W and iron-loss is 200W

A 10KVA, 1∅ transformer has a primary winding of 300 turns and secondary winding of 750 turns, cross sectional area of 64 cm^2. If primary voltage is 440 V at 50 Hz, find maximum flux density in the core, EMF induced in the secondary of transformer. At 0.8 lag p.f, Calculate the efficiency of transformer if full load copper loss is 400W and iron-loss is 200W Problem Question A 10KVA, 1∅ transformer has a primary winding of 300 turns and…

A 40 KVA, 1∅ Transformer has core loss of 450W and full load copper loss 850W. If the power factor of the load is 0.8, Calculate (i) Full load efficiency (ii) Maximum efficiency at UPF (iii) Load for maximum efficiency

A 40 KVA, 1∅ Transformer has core loss of 450W and full load copper loss 850W. If the power factor of the load is 0.8, Calculate (i) Full load efficiency (ii) Maximum efficiency at UPF (iii) Load for maximum efficiency Problem Question A 40 KVA, 1∅ Transformer has core loss of 450W and full load copper loss 850W. If the power factor of the load is 0.8, Calculate (i) Full load efficiency (ii) Maximum efficiency at UPF (iii) Load for…

A 1∅, 20 KVA transformer has 1000 primary turns and 2500 secondary turns the net cross sectional area of the core is 100 cm^2. When the primary winding is connected to 550 V, 50Hz supply, Calculate (i) The maximum value of flux density in the core (ii) The voltage induced in the secondary winding (iii) The primary and secondary full load currents

A 1∅, 20 KVA transformer has 1000 primary turns and 2500 secondary turns the net cross sectional area of the core is 100 cm^2. When the primary winding is connected to 550 V, 50Hz supply, Calculate (i) The maximum value of flux density in the core (ii) The voltage induced in the secondary winding (iii) The primary and secondary full load currents Problem Question A 1∅, 20 KVA transformer has 1000 primary turns and 2500 secondary turns the net cross…

A 500KVA transformer has an efficiency of 92% at full load unity power factor and at half full load 0.9 p.f. Determine it’s efficiency at 80% full load and 0.95 p.f

A 500KVA transformer has an efficiency of 92% at full load unity power factor and at half full load 0.9 p.f. Determine it’s efficiency at 80% full load and 0.95 p.f Problem Question A 500KVA transformer has an efficiency of 92% at full load unity power factor and at half full load 0.9 p.f. Determine it’s efficiency at 80% full load and 0.95 p.f Topic Transformer Transformer Problems The maximum efficiency at full load and unity power factor of a…

The maximum efficiency at full load and unity power factor of a 1∅, 25 KVA, 50/1000V, 50Hz transformer is 98%. Determine the efficiency at (i) 75% load 0.9 p.f (ii) 50% load 0.9 p.f (iii) 25% load 0.6 p.f

The maximum efficiency at full load and unity power factor of a 1∅, 25 KVA, 50/1000V, 50Hz transformer is 98%. Determine the efficiency at (i) 75% load 0.9 p.f (ii) 50% load 0.9 p.f (iii) 25% load 0.6 p.f Problem Question The maximum efficiency at full load and unity power factor of a 1∅, 25 KVA, 50/1000V, 50Hz transformer is 98%. Determine the efficiency at (i) 75% load 0.9 p.f (ii) 50% load 0.9 p.f (iii) 25% load 0.6 p.f…

Induction Motor

Induction Motor Important Formulae to remember Topic Induction Motor Induction Motor Problems The frequency of the EMF in the stator of a 4 pole induction motor is 50 Hz and in the rotor is 1.5 Hz. What is the slip and what speed is the motor running? A 3 ∅ induction motor with 4 poles is supplied from the alternator having 6 poles running at 1000 rpm. Calculate synchronous speed of the induction motor its speed when slip is 0.04…

Transformer

Transformer Important formulae to remember Topic Transformer Examples The maximum efficiency at full load and unity power factor of a 1∅, 25 KVA, 50/1000V, 50Hz transformer is 98%. Determine the efficiency at (i) 75% load 0.9 p.f (ii) 50% load 0.9 p.f (iii) 25% load 0.6 p.f A 500KVA transformer has an efficiency of 92% at full load unity power factor and at half full load 0.9 p.f. Determine it’s efficiency at 80% full load and 0.95 p.f A 1∅,…

If f (z) is analytic show that log mod(f (z)) is harmonic

If f (z) is analytic show that log mod(f (z)) is harmonic Problem Question If f (z) is analytic show that log mod(f (z)) is harmonic   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…

If f(z) is a regular function of z, show that {(del/delx) modf(z)}^2+ {(del/dely)modf(z)}^2= modf'(z)^2

If f(z) is a regular function of z, show that {(del/delx) modf(z)}^2+ {(del/dely)modf(z)}^2= modf'(z)^2 Problem Question If f(z) is a regular function of z, show that {(del/delx) modf(z)}^2+ {(del/dely)modf(z)}^2= modf'(z)^2   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…

If f(z)is analytic, show that [del^2/(delx^2 )+del^2/(dely^2 )] mod(f(z))^2=4mod(f'(z))^2

If f(z)is analytic, show that [del^2/(delx^2 )+del^2/(dely^2 )] mod(f(z))^2=4mod(f'(z))^2 Problem Question If f(z)is analytic, show that [del^2/(delx^2 )+del^2/(dely^2 )] mod(f(z))^2=4mod(f'(z))^2   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…

If u and v are harmonic functions show that (del u/del y-del v/del x) +i (del u/del y+ del v/del y) is analytic

If u and v are harmonic functions show that (del u/del y-del v/del x) +i (del u/del y+ del v/del y) is analytic Problem Question If u and v are harmonic functions show that (del u/del y-del v/del x) +i (del u/del y+ del v/del y) is analytic   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…

If f (z) =u(r, θ) +iv(r, θ) is analytic and given that u+v=1/r^2 (cos(2theta-sin2theta), r≠0, determine the analytic function f (z)

If f (z) =u(r, θ) +iv(r, θ) is analytic and given that u+v=1/r^2 (cos(2theta-sin2theta), r≠0, determine the analytic function f (z) Problem Question If f (z) =u(r, θ) +iv(r, θ) is analytic and given that u+v=1/r^2 (cos(2theta-sin2theta), r≠0, determine the 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…

If f (z) =u+iv is analytic, find f (z) if u-v=(x-y) (x^2+4xy+y^2)

If f (z) =u+iv is analytic, find f (z) if u-v=(x-y) (x^2+4xy+y^2) Problem Question If f (z) =u+iv is analytic, find f (z) if u-v=(x-y) (x^2+4xy+y^2)   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…