## F.Sc ICS Notes: Physics XII: Chapter 16 Alternating Current Numerical Problems

**Numerical Problem 16.1:**An alternating current is represented by the equation I = 20 sin 100 (pie)t. Compute frequency and the maximum and r.m.s values of current.

**A sinusoidal A.C. has a maximum value of 15 A. What are its r.m.s. values? If the time is recorded from the instant the current is zero and is becoming positive, what is the instantaneous value of the current after 1/300 s, given the frequency is 50 Hz.**

**Numerical Problem 16.2:****Numerical Problem 16.3:**Find the value of current and inductive reactance when A.C voltage of 220 V at 50 Hz is passed through an inductor of 10 H.

**A circuit has an inductance of 1/(pie) H and resistance of 2000 ohm. A 50 Hz A.C. is supplied to it. Calculate the reactance and impedance offered by the circuit.**

Numerical Problem 16.4:

Numerical Problem 16.4:

**Numerical Problem 16.5**An inductor of pure inductance 3/(pie)

**H is connected in series with a resistance of 40 ohm. Find (i)**

**the peak value of the current (ii) the r.m.s value, and (iii) the phase difference between the current and the applied voltage V = 350 sin (100 (pie) t).**

**Numerical Problem 16.6:**A 10mH, 20 ohm coil is connected across 240 V and 180/(pie) Hz source. How much power does it dissipate?

**Numerical Problem 16.7:**Find the value of the current flowing through a capacitance 0.5 micro F when connected to a source of 150 V at 50 Hz.

**An alternating source e.m.f 12 V and frequency 50 Hz is applied to a capacitor of capacitance 3 micro F in series with a resistor of resistance 1 ohm. Calculate the phase angle.**

Numerical Problem 16.8:

Numerical Problem 16.8:

**Numerical Problem 16.9:**What is the resonant frequency of a circuit which included a coil of inductance 2.5 H and a capacitance 40 micro F?

**An inductor of inductance 150 micro F is parallel with a variable capacitor whose capacitance can be changed from 500 pico F to 20 pico F. Calculate the maximum frequency and minimum frequency for which the circuit can be tuned.**

Numerical Problem 16.10:

Numerical Problem 16.10:

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