Explanation: The fundamental time period of the sine wave is 2π. The sinusoidal waveform is generally expressed in the form of V=Vmsin(Ωt+α) where Vm represents peak value, Ω represents angular frequency, α represents a phase difference. Ω can be directly calculated by comparing the equations. Ω = 40π Hz.

Explanation: The generated e.m.f can be calculated using the formula Eb = Φ×Z×N×P÷60×A, Φ represent flux per pole, Z represents the total number of conductors, P represents the number of poles, A represents the number of parallel paths, N represents speed in rpm. One turn is equal to two conductors. In lap winding, the number of parallel paths is equal to a number of poles. Eb = .4×22×75×2×78÷60×22 = 78 V.

Explanation: Sinusoidal waveform is generally expressed in the form of V=Vmsin(Ωt+α) where Vm represents peak value, Ω represents angular frequency, α represents a phase difference.

Explanation: The moment of inertia of the stick about its end can be calculated using the formula I=ML2÷3. The mass of the stick about its end and length is given. I = (22)×.33×(.11)2 =.087 kgm2. It depends upon the orientation of the rotational axis.

Explanation: The moment of inertia of the stick about its center can be calculated using the formula I=ML2÷12. The mass of the stick about its center and length is given. I=(1.1)×.0833×(2.9)2=.77 kgm2. It depends upon the orientation of the rotational axis.

Explanation: Useful power developed by the motor can be calculated using the formula P = Eb*I -(rotational losses) = 4*52 – (5) = 203 W. If rotational losses are neglected, the power developed becomes equal to the shaft power of the motor.

Explanation: The frequency is defined as the number of oscillations per second. The frequency can be calculated using the relation Xc = 1÷2×3.14×f×C. F = 1÷Xc×2×3.14×C = 1÷.1×2×3.14×.02 = 79.61 Hz.

Explanation: The slope of the V-I curve is resistance. The slope given is 6.9° so R=tan(6.9°)=.12 Ω. The slope of the I-V curve is reciprocal of resistance.

Explanation: The inductor is a linear element. It only absorbs reactive power and stores it in the form of oscillating energy. The voltage and current are 90° in phase in case of the inductor so the angle between V & I is 90°. P = VIcos90° = 0 W. Voltage leads the current in case of the inductor.

Explanation: The capacitor is a linear element. It only absorbs reactive power and stores it in the form of oscillating energy. The voltage and current are 90° in phase in case of the capacitor so the angle between V & I is 90°. P=VIcos90°= 0 W. Current leads the voltage in case of the capacitor.

Explanation: The inductor is a linear element. It only absorbs reactive power and stores it in the form of oscillating energy. The voltage and current are 90° in phase in case of the inductor so the angle between V & I is 90°. P = VIcos90° = 0 W.

Explanation: The resistor is a linear element. It only absorbs real power and dissipates it in the form of heat. The voltage and current are in the same phase in case of the resistor so the angle between V & I is 0°. P=I2R=.23×.23×8965=474.24 W.

Explanation: MMF method is an optimistic method of voltage regulation as it gives lower than the actual value of voltage regulation. MMF method will give the values that are lesser than the actual value.