In an electrical discharge machining process, the breakdown voltage across inter electrode gap (IEG) is 200 V and the capacitance of the RC circuit is 50 μF. The energy (in J) released per spark across the IEG is __________

The correct answer is 1.

Step-by-step Explanation:

In Electrical Discharge Machining (EDM), the energy stored in the capacitor of the RC circuit is released as a spark across the inter-electrode gap (IEG).

The energy ($E$) stored in a capacitor and released per spark is given by the formula:
$E=\frac{1}{2}\times C\times V^2$
where:
• $C$ is the capacitance of the RC circuit.
• $V$ is the breakdown voltage across the gap.

Given data:
• Breakdown voltage, $V=200\text{V}$
• Capacitance, $C=50\text{μF}=50\times {10}^{-6}\text{F}$

Substituting the given values into the formula:
$E=0.5\times (50\times {10}^{-6}\text{F})\times {\left(200\text{V}\right)}^2$
$E=0.5\times 50\times {10}^{-6}\times 40000$
$E=25\times {10}^{-6}\times 40000$
$E=1\text{J}$

Therefore, the energy released per spark across the IEG is 1 J.