Explanation

• An electric generator is a device that converts mechanical energy into usable electrical energy.
• This process is based on the principle of electromagnetic induction.
• Discovered in 1831 by British scientist Michael Faraday.

Last verified on 27-04-2026

Explanation

q = 5t sin 4πt mC

i = dq/dt

= d/dt (5t sin 4πt)

= 5 sin 4πt + 20πt cos 4πt (mC/s)

At t = 0.5 s:

i = 5 sin 2π + 10π cos 2π

= 0 + 10π mA

≈ 31.42 mA

Explanation

Z_Th = 80 + j55 Ω

For max power transfer, Z_L = Z_Th*

= 80 - j55 Ω

Explanation

A filter passes signals of certain frequencies while blocking or attenuating others.

Filters can be low-pass, high-pass, band-pass, or band-stop depending on the application.

Explanation

1:N = 1:5 => step-up transformer ✔️

V1/V2 = N1/N2 => 200/V2 = 1/5

V2 = 1000 V (not 40V) ❌

I1/I2 = N2/N1 => 3/I2 = 5/1

I2 = 0.6 A (not 15A) ❌

Explanation

v = 6 cos (100t − 30°)

i = C dv/dt

= 50×10^(-6) × d/dt [6 cos (100t − 30°)]

= 50×10^(-6) × (-6)(100) sin(100t - 30°)

= 30×10^(-3) cos(100t - 30° + 90°)

= 30 cos(100t + 60°) mA

Explanation

Power is the rate of change of energy with respect to time.

Mathematically, P = dW/dt, where W is energy.

Explanation

v²/R = v × (v/R) = v × i

i²/G = i × (i/G) = i × v (since G = 1/R, i/G = v)

So, v²/R = i²/G

Explanation

When the characteristic equation has equal real roots, the RLC circuit is critically damped.

In this case, the circuit returns to steady state as fast as possible without oscillation.

Explanation

A capacitor stores energy in the electric field between its plates.

The energy is proportional to ½ C V², where C is capacitance and V is voltage.