Question

14. Compare the power used in the 2ohm resistor in each of the following circuits:
(1) a 6 V battery in series with 1ohm and 2ohm resistors, and (ii) a 4 V battery in parallel
with 12 ohm and 2ohm resistors.​

Answer 1

A 6 V battery in series with 1 Ohm and 2 Ohm resistors

Potential difference, V = 6 V

1Ohm and 2 Ohm resistors are connected in series.

Therefore, the equivalent resistance of the circuit,

R = 1 + 2 = 3 Ohm

According to Ohm’s law,

V = IR

Where,

I is the current through the circuit

I= 6/3 = 2 A

This current will flow through each component of the circuit because there is no division of current in series circuits. Hence, the current flowing through the 2Ohm resistor is 2 A.

Power is given by the expression,

P= I2R =

22X 2 = 8 W