GATE Electrical Engineering (EE) 2020 Solved Paper

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Question : 15 of 65

Marks: +1, -0

Current in ammeters

{A}_{2}

and

{A}_{3}

are

1 ∠ 10^{∘}

and

1 ∠ 70^{∘}

respectively. The reading of the ammeter

A_{1}

(round off to 3 decimal places) is A.

Your Answer:

Solution:

Reading of

{A}_{2}( {I}_{2})=1 ∠ 10^{∘} {A}

Reading of

A_{3}(I_{3})=1 ∠ 70^{∘} A

Apply

{KCL}

,

\ov{ {I}_{1}}=\ov{ {I}_{2}}+\ov{ {I}_{3}}

\ov{ {I}}_{1}=1 ∠ 10^{∘}+1 ∠ 70^{∘}

Using parallelogram method.

I_{1}=√{I_{2}^{2}+I_{3}^{2}+2 I_{2} I_{3} \cos 60^{∘}}

=√{(1)^{2}+(1)^{2}+2(1)(1) \cos 60^{∘}}=√{3}

I_{1}=1.732 {A}

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