Question

From the combination of resistors with resistance values $ R_1 = R_2 = R_3 = 5 \, \Omega $ and $ R_4 = 10 \, \Omega $, which of the following combination is the best circuit to get an equivalent resistance of 6 $ \Omega $?

• A.
• B.
• C.
• D.

Hint:

To achieve the required equivalent resistance, combine resistors in series and parallel according to the desired total resistance.

Answer 1

The Correct Option is A

The equivalent resistance of resistors in series and parallel is calculated using the following formulas:
1. Resistors in Series: \[ R_{\text{eq}} = R_1 + R_2 + \dots \]
2. Resistors in Parallel: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots \]
Using the correct combination, it is found that the first option gives the desired equivalent resistance of \( 6 \, \Omega \).
Thus, the correct answer is (1).