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Question

Question: Five equal resistances of \(I = 2x^{2} - 3t + 1\) are connected between A and B as shown in figure. ...

Five equal resistances of I=2x23t+1I = 2x^{2} - 3t + 1 are connected between A and B as shown in figure. The resultant resistance is

A

10 Ao\overset{o}{A}

B

59.4×10189.4 \times 10^{18}

C

15(e=1.6×1019C)\left( e = 1.6 \times 10^{- 19}C \right)

D

64Ω4\Omega

Answer

59.4×10189.4 \times 10^{18}

Explanation

Solution

: According to the given circuit 10Ω10\Omega and 10Ω10\Omega resistances are connected in series.

R=10+10=20Ω\therefore R' = 10 + 10 = 20\Omega

Again 10Ω10\Omegaand 10Ω10\Omega resistances are connected in series

R=10+10=20Ω\therefore R'' = 10 + 10 = 20\Omega

R,RR',R'' and 10Ω10\Omega all connected in parallel than

1Req=1R+1R+110=120+120+110=1+1+220\therefore\frac{1}{R_{eq}} = \frac{1}{R'} + \frac{1}{R''} + \frac{1}{10} = \frac{1}{20} + \frac{1}{20} + \frac{1}{10} = \frac{1 + 1 + 2}{20}

=420=15= \frac{4}{20} = \frac{1}{5}

Req=5ΩR_{eq} = 5\Omega