The potential difference between points a and b is

Asked by admin @ 24/08/2021 in Physics viewed by 296 People

61. The potential difference between points A and B is

(a) 10 V(c) 14 V(b) 12 V(d)0V

Answered by admin @ 24/08/2021

Answer

Potential difference between points A and B is 0 V

$\orange{\bigstar}$ Given $\green{\bigstar}$

A circuit is given having batteries of 6V , 9V and resistances 3 , 2Ω and current , I = 3 A

$\orange{\bigstar}$ To Find $\green{\bigstar}$

potential difference between points A and B

$\orange{\bigstar}$ Key Points $\green{\bigstar}$

You must know the sign rules before going to solve this problem

1 . If we are moving from positive to negative terminal , V is taken as negative and vice-versa

2 . If current is moving towards the resistance then voltage through resistance is take as negative and vice-versa

$\orange{\bigstar}$ Solution $\green{\bigstar}$

We need to find potential difference between points A and B

$\to \rm V_A-6+V_{2\Omega}-9+V_{3\Omega}=V_B\\\\\to \rm V_A-V_B=6+9-V_{2\Omega}-V_{3\Omega}\\\\\to \rm V_{AB}=15-(3)(2)-3(3)\\\\\to \rm V_{AB}=15-6-9\\\\\to \rm V_{AB}=15-15\\\\\to \rm \orange{\bigstar}\ \; V_{AB}=0\ V\ \; \green{\bigstar}$

So , Option (d) is correct

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