Question

two voltages having rms values 50 and 76 have phase difference 60 find resultant of two voltage??​

Answer 1

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Answer 2

Answer:

The resultant voltage of the voltages having rms values 50 and 76 have phase difference 60 is 109.90V

Explanation:

This question can be directly solved by the given formula. Where the resultant voltage will be the square root of the sum of both the voltages.

$V=\sqrt{V1^{2} +V^{2} +2V1V2cos\alpha }$      (1)

As per the formula,

$V=$resultant voltage

$V1=$ first rms voltage i.e. 50V    (2)

$V2=$second rms voltage i.e.60V  (3)

$\alpha =$the phase difference between the two voltages i.e.60°

$cos60$°$=1/2$   (4)

putting equations (2),(3), and (4) in equation (1) we get;

$V=\sqrt{50^{2}+76^{2} +3800 }$

$V=\sqrt{12076} =109.89$≈$109.90$

Hence, the resultant voltage of the voltages having rms values 50 and 76 have phase difference 60 is 109.90V