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A resistance-capacitance relaxation circuit is used in an electrical discharge machining process. The discharge voltage is $100$ $V$. At a spark cycle time of $25$ $μs$, the average power input required is $1$ $kW$. The capacitance (in $μF$) in the circuit is

  1. $2.5$
  2. $5.0$
  3. $7.5$
  4. $10.0$

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