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Tuesday, 27 October 2015

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

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.
Numerical Problem 16.2: 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.

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

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.
Numerical Problem 16.4:
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.

F.Sc ICS Notes: Physics XII: Chapter 16 Alternating Current Numerical Problems Asad Hussain 1

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).

F.Sc ICS Notes: Physics XII: Chapter 16 Alternating Current Numerical Problems Asad Hussain2

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?



F.Sc ICS Notes: Physics XII: Chapter 16 Alternating Current Numerical Problems Asad Hussain 3


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.
Numerical Problem 16.8:
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.

F.Sc ICS Notes: Physics XII: Chapter 16 Alternating Current Numerical Problems Asad Hussain 4 

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?
Numerical Problem 16.10:
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.

F.Sc ICS Notes: Physics XII: Chapter 16 Alternating Current Numerical Problems Asad Hussain 5

Written by: Asad Hussain

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