Certainly! Let's break down the process step-by-step to find the kinetic energy (K.E) that a charge acquires when it is accelerated through a potential difference (p.d).
### Step-by-Step Solution:
1. Identify the given values:
- Charge ([tex]\( q \)[/tex]): [tex]\( 0.01 \, \text{C} \)[/tex] (Coulombs)
- Potential difference ([tex]\( V \)[/tex]): [tex]\( 1000 \, \text{V} \)[/tex] (Volts)
2. Understand the relationship:
The kinetic energy ([tex]\( \text{KE} \)[/tex]) acquired by a charge when it is accelerated through a potential difference is given by the formula:
[tex]\[
\text{KE} = q \times V
\][/tex]
Here, [tex]\( q \)[/tex] is the charge, and [tex]\( V \)[/tex] is the potential difference.
3. Substitute the given values into the formula:
[tex]\[
\text{KE} = 0.01 \, \text{C} \times 1000 \, \text{V}
\][/tex]
4. Compute the result:
[tex]\[
\text{KE} = 10.0 \, \text{J}
\][/tex]
Hence, the kinetic energy acquired by the charge is [tex]\( 10.0 \)[/tex] Joules.
So, when a charge of [tex]\( 0.01 \, \text{C} \)[/tex] is accelerated through a potential difference of [tex]\( 1000 \, \text{V} \)[/tex], it acquires a kinetic energy of [tex]\( 10.0 \)[/tex] Joules.
