Question
Asked Dec 19, 2019
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Consider the circuit shown in Figure P18.11. Find (a) the
potential difference between points a and b and (b) the current
in the 20.0 - Ω resistor.

5.00 2
25.0 V
5.00N
10.0 N
20.0 2
10.0 N
Figure P18.11
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5.00 2 25.0 V 5.00N 10.0 N 20.0 2 10.0 N Figure P18.11

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Expert Answer

Step 1
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Given Info: The bottom of the two resistors connected in series combinations are 20.0 N and 5.00 N. The other resistors connected in parallel combinations are 25.0 2, 10.0 N and 5.00 2. The potential difference across the battery is 25.0 V and from the step 3 two resistors is 2.94 N and 10.0 N. Explanation: Formula to calculate the equivalent resistance of the two resistors connected in series. R, = R4 + R5 • R, is the equivalent resistance of the two resistors connected in series, R4 and Rs is the resistors, Substitute 20.0 N for R4 and 5.00 2 for R5. R, = 20.0 2 + 5.00 N = 25.0 2 Thus, the equivalent resistance of the two resistors connected in series is 25.0 2.

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Step 2
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Formula to calculate the equivalent resistance of the resistors connected in parallel. %3D Rp Ry R3 R, R, is the equivalent resistance of the two resistors connected in series, • R2 and R3 is the resistors, R, is the equivalent resistance of the resistors connected in parallel, Substitute 25.0N for R, 10.0 for R2 and 5.00N for R3. 10.0 2 5.00 2 25.0 2 R, 17 50 2 50 2 R, = = 2.94 N 17 Thus, the equivalent resistance of the resistors connected in parallel is 2.94 N.

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Step 3
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Formula to calculate the total current passing through the circuit is, AV R,+R1 AV is the potential difference across the battery, R is the resistor, R, is the equivalent resistance of the resistors connected in parallel, • Iis the total current, Substitute 25.0 V for AV, 10.0 N for R1 and 2.94 N for Rp. 25.0 V 2.94 2+10.0 2 =1.93 A Thus, the total current passing through the circuit is 1.93 A.

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