Question 791: Electrostats & Capacitance

Question

Let ' $W$ ' joule be the work done to move an electric charge ' $q$ ' coulomb from a place $A$, where potential is -5 volt to another place $B$ where potential is ' $V$ ' volt. The value of ' $V$ ' is

Accepted Answer

Given:
Work done: $W$ joule
Charge: $q$ coulombs
Potential at $A$: $V_A = -5$ volt
Potential at $B$: $V_B = V$ volt
Step 1:
Work done in moving charge $q$ from $A$ to $B$ is given by:
$$ W = q (V_B - V_A) $$
Step 2:
Substitute the values:
$V_B = V$
$V_A = -5$
So,
$$ W = q (V - (-5)) $$
$$ W = q (V + 5) $$
Step 3:
Solve for $V$:
$$ W = q(V + 5) $$
Divide both sides by $q$:
$$ \frac{W}{q} = V + 5 $$
Subtract $5$ from both sides:
$$ V = \frac{W}{q} - 5 $$
Answer:
The correct value of $V$ is:
$$ \boxed{\frac{W}{q} - 5} $$
So, correct option: D.

Answer

$W q-5$

Answer

$\frac{\mathrm{q}}{\mathrm{w}}+5$

Answer

$W-\frac{5}{q}$

Answer

$\frac{w}{q}-5$

Electrostats & Capacitance

Let ' W ' joule be the work done to move an electric charge ' q ' coulomb from a place A, where potential is -5 volt to another place B where potential is ' V ' volt. The value of ' V ' is

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