Simplify T = (frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}})
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A.
(frac{4R_1 times R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1 R_2}) -
B.
(frac{R_1 R_2 R_3}{R_2R_3 + R_1R_2 + 4R_1 R_2}) -
C.
(frac{16R_1 R_2 R_3}{R_2R_3 + R_1R_2 + R_1 R_2}) -
D.
(frac{4R_1 R_2 R_3}{4R_2R_3 + R_1R_2 + 4R_1 R_2})
Correct Answer: Option A
Explanation
T = (frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}) = (frac{4R_2}{frac{1}{R_1} + frac{1}{R_2} + frac{4}{R_3}})
= (frac{4R_2}{frac{R_2R_3 + R_1R_3 + 4R_1R_2}{R_1R_2R_3}})
= (frac{4R_2 times R_1 R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1 R_2})
= (frac{4R_1 times R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1R_2})
T = (frac{4R_1 times R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1 R_2})