Question:

In the circuit shown, if a conducting wire is connected between points A and B, the current in this wire will:
circuit shown, if a conducting wire is connected between points A and B, the current in this wire will

Updated On: Oct 21, 2023
  • flow from A to B
  • flow in the direction which will be decided by the value of V
  • be zero
  • flow from B to A
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The Correct Option is D

Solution and Explanation

As the bridge is not balance so the current will through wire. 
The current through arm PAQ is \(I_1=\frac {V}{(4+4)}=\frac V8\)
The current through arm PBQ is \(I_2=\frac {V}{(1+3)}=\frac V4\)
Thus, \(V_A−V_Q=4I_1\)
\(V_A−0=4(\frac V8)\)   (as Q is connected in ground )
\(V_A=\frac V2\)
\(V_B−V_Q=3I_2\)
\(V_B−0=3(\frac V4)\)  (as Q is connected in ground )
\(V_B=\frac {3V}{4}\)
Since \(V_B>V_A\), so current flow from B to A.

Therefore, the correct option  is (D): flow from B to A

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Concepts Used:

Electric Current

Defining Electric Current

It is the rate of flow of electrons in a conductor. SI Unit - Ampere (A).

Electrons are negatively charged particles hence when they move a number of charges moves.

Note:- The ability of a particular substance to conduct electricity depends on the number of electrons that are able to move . Some of the materials allow current to flow better than others. 

What is an Electromotive Force?

If a force acts on electrons to make them move in a particular direction, then up to some extent random motion of the electrons will be eliminated. An overall movement in one direction. The force which acts on the electrons to move them in a certain direction is known as electromotive force and its quantity is known as voltage and is measured in V.