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Physics-

General

Easy

Question

A current of A enters one corner one corner P of an equilateral triangle $P Q R$ having 3 wires of resistance 2 $blank capital omega$ each and leaves by the corner R. then the current $I subscript 1 end subscript$ and $I subscript 2 end subscript$ are

2A, 4A
4A, 2A
1A, 2A
2A, 3A

The correct answer is: 2A, 4A

From Kirchhoff’s first law at junction P,
$I subscript 1 end subscript plus I subscript 2 end subscript equals 6 blank horizontal ellipsis open parentheses i close parentheses$
From Kirchhoff’s second law to the closed circuit PQRP,
$negative 2 I subscript 1 end subscript minus 2 I subscript 1 end subscript plus 2 I subscript 2 end subscript equals 0$
$⟹ negative 4 I subscript 1 end subscript plus 2 I subscript 2 end subscript equals 0$
$⟹ 2 I subscript 1 end subscript minus I subscript 2 end subscript equals 0 horizontal ellipsis open parentheses i i close parentheses$
Adding Eqs. (i) and (ii), we get
$3 I subscript 1 end subscript equals 6 ⟹ I subscript 1 end subscript equals 2 A$
From Eq. (i),
$I subscript 2 end subscript equals 6 minus 2 equals 4 A$

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parallel

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The temperature of the two outer surfaces of a composite slab, consists of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x respectively $text are end text T subscript 2 end subscript text end text$ and $text end text T subscript 1 end subscript open parentheses T subscript 2 end subscript greater than T subscript 1 end subscript close parentheses$
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physics-General

parallel

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