Q13. The picture shows a battery connected to two wires in parallel. Both wires
ID: 1598071 • Letter: Q
Question
Q13.
The picture shows a battery connected to two wires in parallel. Both wires are made of the same material and have the same length, but the diameter of wire A is twice the diameter of wire B.
For each statement select T True or F False.
1 The power dissipated in wire A is 16 times the power dissipated in wire B.
2 The voltage drop across wire B is larger than the voltage drop across wire A.
3 The resistance of wire B is twice as large as the resistance of wire A.
4 The current through the battery is four times the current through wire A.
5 The resistance of wire A is one quarter of the resistance of wire B.
Explanation / Answer
1. The power dissipated in wire A is 16 times the power dissipated in wire B. – False. The voltage in both the wires is the same. Resistance in B is 4 times higher than A, means current in A is 4 times higher. So Power in A only 4 times higher than B not 16 times.
2. The voltage drop across wire B is larger than the voltage drop across wire A. False. Voltage is same across the parallel circuit.
3. The resistance of wire B is twice as large as the resistance of wire A. False. A’s diameter is twice the diameter of B, the cross-section area is 4 times higher and hence resistance in A is 4 times smaller.
4. The current through the battery is four times the current through wire A. False. The total current in battery is 5 times the current in A
5. The resistance of wire A is one quarter of the resistance of wire B. True
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