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Q. 29

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 791

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Short Answer

The 10 Ω resistor in FIGURE EX28.29 is dissipating of power. How much power are the other two resistors dissipating?

The power of other two resistors are and .

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Step by Step Solution

Step 1: Given Information 

We need to find that How much power are the other two resistors dissipating?

Step 2: Simplify   

of the power is dissipated by resistor. So, calculating the current through the resistance . The energy is dissipated when the current flows through a resistor. The rate of the dissipated energy is the power. This rate where the energy is transferred from the current to the resistor is


Use equation (1) and solve it for the current and plug the value for and to get by

The current is the same for the resistors, and as the two resistors and are in series, the current and is same.

Putting the values for the current and into equation (1) to get the dissipated power by resistance by

The potential difference in the upper branch could be calculated by

The potential difference across the resistors is the same in parallel connection. So, the voltage across the below resistor is . So, this value to get the power through the resistor by

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