Q. 59

Expert-verified
Found in: Page 793

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# For the circuit shown in FIGURE , find the current through and the potential difference across each resistor. Place your results in a table for ease of reading.

See the step by step solution

## Step 1: Given information

We have given the circuit.

We need to find the current through and the potential difference across each resistor.

## Step 2: Simplify

When the resistors are connected at both the ends of the point then it is said that the resistors are connected in parallel. This is obvious when the resistors are aligned side by side. The potential difference across the resistors is the same in parallel connection. Equation shows the equivalent resistance for the parallel connection in the form

The two resistors and are in parallel, so we use the equation to get their combination by

The resistor is in series with a combination ,so they have the same current. We apply the loop rule to get the current through resistors and the combination . Traveling clockwise in the left loop and get the next

Appling the loop rule on the right loop and travel clockwise to get

## Step 3: Simplify

The current from the junction rule equals .Use this into equation to get by

Hence, the current through is

Using Ohm's law to get the voltage across both resistors by

and

The current is the same for resistors , so the current through it is calculated by

Use Ohm's law to get the voltage across this resistor by

Both resistors and have the same voltage and their combination current is the same for , so using Ohm's law, the voltage across both of them is

Again using Ohm's law, the current through and will be

and

## Step 4: Table

The results are summarised in below's table