The work done across two points having a potential difference of 10 V is 30 J. Then the electric charge flowing between the two points is:

Options

A. 3 Ampere
B. 3 Joule
C. 3 Coulomb
D. 3 Ohm

Answer

To find the electric charge flowing between two points with a given potential difference and work done, we can use the formula:

\[ W = V \times Q \]

Where:
- \( W \) is the work done (in joules),
- \( V \) is the potential difference (in volts),
- \( Q \) is the electric charge (in coulombs).

Given:
- Work done, \( W = 30 \, J \)
- Potential difference, \( V = 10 \, V \)

We need to find the electric charge \( Q \).

### Step 1: Rearranging the formula
We can rearrange the formula to solve for \( Q \):

\[ Q = \frac{W}{V} \]

### Step 2: Substituting the values
Now, substitute the given values into the equation:

\[ Q = \frac{30 \, J}{10 \, V} \]

### Step 3: Performing the calculation
Now, perform the division:

\[ Q = \frac{30}{10} = 3 \, C \]

### Conclusion
The electric charge flowing between the two points is \( 3 \, C \).

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