Question Detail

PHY 102 Test Compilation PHY 102 17 Objective Question
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Question

Calculate the equivalent resistance between A and B in the circuit shown below, where all resistors are 20 Ω.
Circuit Diagram showing 4 resistors. One 20 ohm resistor from A, then that point splits into three parallel 20 ohm resistors, which then combine to B.
Options
A 6.67 ohm
B 46.67 ohm
C 26.67 ohm
Correct Answer
D 10.67 ohm
Correct Answer

Option C is the correct answer.

Detailed Explanation

The circuit consists of one 20 Ω resistor in series with a parallel combination of three other 20 Ω resistors.First, calculate the equivalent resistance of the three 20 Ω resistors in parallel:1/R_p = 1/20 + 1/20 + 1/20 = 3/20 Ω^-1.R_p = 20/3 Ω ≈ 6.67 Ω.Next, this parallel combination is in series with the first 20 Ω resistor:R_eq = 20 Ω + R_p = 20 Ω + 6.67 Ω = 26.67 Ω.

Hint

Identify series and parallel combinations. Remember that for 'n' identical resistors 'R' in parallel, the equivalent resistance is R/n.

Question Info

Course: PHY 102
Topic: Test Compilation PHY 102 17
Type: Objective
Difficulty: Not specified
Question 1105 of 1819
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