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Q. 5

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 789

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Short Answer

The circuit of FIGURE has two resistors, with . Which of the two resistors dissipates the larger amount of power? Explain.

The resistor that dissipates the most energy is the.

See the step by step solution

Step by Step Solution

Step 1. Given information

The circuit that contains two resistors has relation of

Step 2. Identify the resistor that dissipates the most power.

The expression for power is,

where, is the voltage and is the resistance.

In the diagram below, the resistors are linked in parallel:

The two resistances and are coupled in a parallel combination in this diagram. We know that when resistances are coupled in a parallel configuration, the potential difference between them is the same.

Thus can deduce from the preceding calculation of power that power is inversely related to resistance.

The power dissipated through the resistor decreases as the resistance increases, and vice versa.

is the specified condition.

Because the resistor has a greater value, the power wasted through it will be reduced.

As a result, the power lost through the resistance will be greater.

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