1. Calculate the potential difference
required across a conductor of resistance 5 Ω to flow a current of 1.5 A
through it.
ANS: Given, R = 5 Ω
I = 1.5 A
From Ohm’s law, V = IR = 1.5 x 5 = 7.5 V
2. How much electric current is produced on
applying p.d of 30 volts on a wire of resistance 20 Ω?
ANS: Given, R = 20 Ω
V = 30 V
According to Ohm’s law, V=IR
Therefore, I = V/R = 30/20 = 1.5 A
3. If 5 ampere current flowing through a
wire, develops a potential difference of 50 volts across its ends, find the
resistance of the wire.
ANS: Given, I = 5 A
V = 50 V
Using Ohm’s law, V = IR
Therefore, R = V/I
= 50/5 = 10 Ω
4. The p.d. between the terminals of an
electric heater is 60 V when it draws a current of 4 A from the source. What
current will the heater draw if the p.d. is increased to 120 V?
( As, current is directly proportional to Potential
difference
So, as V is doubled (from 60 V to 120 V), current
will also be doubled. So, the answer will be 2 x 4 = 8 A)
ANS: Given, V = 60 V
I = 4 A
According to Ohm’s law, V = IR
So, R = V/I = 60/4 = 15 Ω
When the potential is increased to 120 V, the
current is given by,
I = V/R = 120/15 = 8 A
The current through the heater becomes 8 A.
5. A relay with a resistance of 12 Ω is in an
electric circuit with one side at a potential of 85 volts and the other at 71
volts. How much current is in the relay?
ANS: The p.d. across the relay = V2 – V1
= 85 V – 71 V = 14 V
Therefore, the current in the relay, I = V/ R = 14/12 = 1.2 A
PROBLEMS FOR PRACTICE
6. A lamp of resistance 80 Ω draw a current of 0.75 A. Find the line voltage.
7. An electric heater draw a current of 5 A when
connected to 220 V mains. Calculate the resistance of its filament.
8. How much current will an electric heater
draw from a 200 V source, if the resistance of the filament is 100 Ω?
9. How much current does an electric heater
draw from a 220 V line, if the resistance of the heater (when hot) is 50 Ω?
10. A bulb when cold has 1 Ω resistance. It
draws a current of 0.3 A when glowing from a source of 3 V. Calculate the
resistance of the bulb when it is glowing and explain the reason for the
difference in resistance.