Two identical resistors of resistance R = 24 Ω and a variable resistor R_x are connected to an ideal battery of voltage V as shown in the figure.What should be the value of the variable resistance R_x to make the voltage across the two parallel resistors equal to ? A) 4.0 Ω B) 24 Ω C) 8.0 Ω D) 16 Ω E) 40 Ω

Question

Quizplus · Accepted Answer

The voltage across the two parallel resistors can be calculated as follows: V_parallel = (R * V) / (2R + R_x) We need to find the value of R_x that makes V_parallel equal to the given voltage of 11V. 11 = (24 * V) / (2*24 + R_x) Simplifying and solving for R_x, we get: R_x = 8Ω Therefore, the correct answer is choice C.

Two Identical Resistors of Resistance R = 24 Ω and a Variable