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Question: Combine three resistors 5\(\sigma_{1}\), 4.5\(\sigma_{2}\), and 3\(\sigma_{1} + \sigma_{2}\) in such...

Combine three resistors 5σ1\sigma_{1}, 4.5σ2\sigma_{2}, and 3σ1+σ2\sigma_{1} + \sigma_{2} in such a way that the total resistance of this combination is maximum

A

12.52σ1σ2σ1+σ2\frac{2\sigma_{1}\sigma_{2}}{\sigma_{1} + \sigma_{2}}

B

13.5 I=2x23t+1I = 2x^{2} - 3t + 1

C

14.5 Ao\overset{o}{A}

D

16.59.4×10189.4 \times 10^{18}

Answer

12.52σ1σ2σ1+σ2\frac{2\sigma_{1}\sigma_{2}}{\sigma_{1} + \sigma_{2}}

Explanation

Solution

: For maximum equivalent or total resistance of the resistors must be combined in series.

Req=R1+R2=R3R_{eq} = R_{1} + R_{2} = R_{3}

=5+4.5+3=12.5Ω= 5 + 4.5 + 3 = 12.5\Omega