Question

Calculate the power used in the 2ohm resistors. a) a 6v battery in series with 1ohm and 2ohm resistors
b) a 4v battery in parallel with 12ohm and 2ohm resistors

Answer 1

Answer:

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Explanation:

(i) Potential difference, V = 6 V

1Ohm and 2 Ohm resistors are connected in series. Therefore, 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, current flowing through the 2Ohm resistor is 2 A. Power is given by the expression,

P= (I)2R = (2)2 x 2 = 8 W

(ii) Potential difference, V = 4 V

12 Ohm and 2 Ohm resistors are connected in parallel. The voltage across each component of a parallel circuit remains the same. Hence, the voltage across 2 Ohm resistor will be 4 V.

Power consumed by 2 Ohm resistor is given by

P= V2/R = 42/2 = 8 W

Therefore, the power used by 2 Ohm resistor is 8 W.