Current Electricity MCQs for NEET — Physics Questions with Answers

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Two resistors of resistance R1 and R2 having R1 > R2 are connected in parallel. For equivalent resistance R, the correct statement is :

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Explanation

Equivalent resistance of parallel resistors is always less than any of the member of the resistance system.

A wire of resistance R is divided into 10 equal parts. These parts are connected in parallel, the equivalent resistance of such connection will be :

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Explanation

Each part will have a resistance r=R/10

Let equivalent resistance be rR, then

1rR=1r+1r+1r...........10 times

1rR=10r=10R/10=100RrR=R100=0.01R  

Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will be 

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Explanation

When three resistors of equal resistance R are connected in a triangular shape, the effective resistance between any two vertices is R/3 by applying the parallel resistance formula. Since each resistor is 2Ω, the effective resistance between any two vertices is 2/3 = 4/3Ω.

There are n similar conductors each of resistance R. The resultant resistance comes out to be x when connected in parallel. If they are connected in series, the resistance comes out to be :

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Explanation

In parallel, x=RnR = nx

In series, R + R + R .... n times = nR = n (nx) = n2x

Two resistances are joined in parallel whose resultant is 68 ohm. One of the resistance wire is broken and the effective resistance becomes 2Ω. Then the resistance in ohm of the wire that got broken was 

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Explanation

If resistances are R1 and R2 then R1R2R1+R2=68 …..(i)

Suppose R2 is broken then R1=2Ω  …..(ii)

On solving equations (i) and (ii) we get R2=6/5Ω 

The equivalent resistance of resistors connected in series is always :

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Explanation

Rseries=R1+R2+R3+.....  

A cell of negligible resistance and e.m.f. 2 volts is connected to a series combination of 2, 3, and 5 Ω. The potential difference in volts between the terminals of 3 Ω resistance will be :

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Four wires of equal length and of resistances 10 ohms each are connected in the form of a square. The equivalent resistance between two opposite corners of the square is :

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Two resistors are connected (a) in series (b) in parallel. The equivalent resistance in the two cases is 9 ohm and 2 ohms respectively. Then the resistances of the component resistors are :

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Explanation

R1+R2=9 and R1R2R1+R2=2R1R2=18

R1R2=(R1+R2)24R1R2=8172=3

R1=6Ω,R2=3Ω  

A wire is broken in four equal parts. A packet is formed by keeping the four wires together. The resistance of the packet in comparison to the resistance of the wire will be 

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Explanation

Let the resistance of the wire be R, then we know that resistance is proportional to the length of the wire. So each of the four wires will have R/4 resistance and they are connected in parallel. So the effective resistance will be

1R1=4R4R1=R16

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