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Question: In the circuit shown in the given figure, the resistances \(2\Omega,4\Omega\)and \(5\Omega\) are res...

In the circuit shown in the given figure, the resistances 2Ω,4Ω2\Omega,4\Omegaand 5Ω5\Omega are respectively

A

14 T1T_{1}and 40 T2T_{2}

B

40 T1>T2T_{1} > T_{2} and 14T1<T2T_{1} < T_{2}

C

40 T1=T2T_{1} = T_{2} and 30T1=1T2T_{1} = \frac{1}{T_{2}}

D

147.5×104ms17.5 \times 10^{- 4}ms^{- 1} and 30 3×1010Vm13 \times 10^{- 10}Vm^{- 1}

Answer

14 T1T_{1}and 40 T2T_{2}

Explanation

Solution

: Potential difference across 20Ω=20×120\Omega = 20 \times 1

= 20 V = potential difference across R2R_{2}

Current is R2=0.5AR_{2} = 0.5A

R2=R2=20.V0.5A=40Ω.\therefore R_{2} = R_{2} = \frac{20.V}{0.5A} = 40\Omega.

Potential difference across

R1=69V20V=49V.R_{1} = 69V - 20V = 49V.

Current in R1=0.5A+2010+1A=3.5AR_{1} = 0.5A + \frac{20}{10} + 1A = 3.5A

R1=493.5=14Ω\therefore R_{1} = \frac{49}{3.5} = 14\Omega