In a three-branch parallel circuit, R₁=1.2 $\mathrm { M } \Omega$, R₂=1$\mathrm { M } \Omega$ and R_T=0.5 $\mathrm { M } \Omega$ . Calculate R₃ . A) 6 $\mathrm { M } \Omega$ B) 2 $\mathrm { M } \Omega$ C) 7.7 $\mathrm { M } \Omega$ D) 1.7 $\mathrm { M } \Omega$

Question

Quizplus · Accepted Answer

To find the total resistance in a parallel circuit, use the formula $1/R_{total} = 1/R_1 + 1/R_2 + 1/R_3 + ... $. Given $R_{total} = 0.5 \, \mathrm {M} \Omega$, $R_1 = 1.2 \, \mathrm {M} \Omega$, and $R_2 = 1 \, \mathrm {M} \Omega$, we solve for $R_3$ by rearranging the formula: $1/R_3 = 1/R_{total} - (1/R_1 + 1/R_2)$. Plugging in the given values and solving for $R_3$ yields $R_3 = 6 \, \mathrm {M} \Omega$.

In a Three-Branch Parallel Circuit, R1=1 MΩ\mathrm { M } \OmegaMΩ

In a Three-Branch Parallel Circuit, R₁=1 $\mathrm { M } \Omega$