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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

What is the magnitude of the potential difference across each resistor in FIGURE ?

The magnitude of potential difference across each resistance is and respectivelty.

See the step by step solution

Step by Step Solution

Step 1: Given information 

We need to find the magnitude of the potential difference across each resistor.

Step 2: Explanation

As we can see the two resistors and the battery are connected in series. Due to the charge conservation, the current is same across this circuit but the voltage is not same. For equivalent resistance. The equivalent resistance in the circuit. The strategy is to calculate the combination of the resistors in series, so, their combination could be calculated by taking the summation of both resistor

Putting values for and into equation (1) to get the equivalent resistance .

Ohm's law states that the current flows through a resistance due to potential difference between the resistance is

Calculating the current through the two resistors using the values for and of the battery by

This is the current for both resistors. To get the potentials differences across each resistor we use Ohm's law again by multiplying the current by the value of the resistance as next

And the highest resistance has

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