A direct current of \( 10 \mathrm{~A} \) is superimposed on an alternating current \( I=40 \cos ...

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A direct current of \( 10 \mathrm{~A} \) is superimposed on an alternating current \( I=40 \cos \pi t(A) \) flowing through a wire. The effective value of the resulting current will be
(a) \( 10 \sqrt{2} \mathrm{~A} \)
(b) \( 20 \sqrt{2} \mathrm{~A} \)
(c) \( 20 \sqrt{3} \mathrm{~A} \)
(d) \( 30 \mathrm{~A} \)
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