# A shunt reactor at 100 MVAR is operated at 98% of its rated voltage and at 96% of its rated frequency.

A shunt reactor at 100 MVAR is operated at 98% of its rated voltage and at 96% of its rated frequency.

### Right Answer is: 100.04 MVAR

#### SOLUTION

The reactive power Q is given as

$\begin{array}{l}Q = \dfrac{{{V^2}}}{{{X_L}}} = \dfrac{{{V^2}}}{{2\pi fL}}\\\\ \dfrac{{{Q_2}}}{{{Q_1}}} = {\left( {\dfrac{{{V_2}}}{{{V_1}}}} \right)^2} \times \left( {\dfrac{{{f_1}}}{{{f_2}}}} \right)\\\\{Q_2} = 100\left( {\dfrac{{0.98{V_1}}}{{{V_1}}}} \right)\left( {\dfrac{{{f_1}}}{{0.96{f_1}}}} \right)\\\end{array}$

Q2 = 100.04 MVAr

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