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Question

An altering voltage is given by ; e=e1sinωt+e2cosωt . Then the root mean square value of voltage.

A
e21+e22
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B
e1e2
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C
e1e22
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D
e21e222
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Solution

The correct option is C e21+e22

The given alternating voltage is,

e=e1sinωt+e2cosωt

e=e1sinωt+e2sin(ωt+π2)

Now, the root mean square value is,

e=(e12+e22+2e1e2cosπ2)

e=e12+e22


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