JEE MAIN - Physics (2023 - 30th January Morning Shift - No. 20)

In the following circuit, the magnitude of current I₁, is ___________ A.

JEE Main 2023 (Online) 30th January Morning Shift Physics - Current Electricity Question 98 English

Answer

1.5

The indicated diagram shows current flow diagram loops for writing Kirchhoff's law are also indicated, writing the equation

JEE Main 2023 (Online) 30th January Morning Shift Physics - Current Electricity Question 98 English Explanation

$$2{I_3} + {I_1} + {I_3} + {I_2} = 5$$

or $${I_1} + {I_2} + 3{I_3} = 5$$ ..... (1)

$${I_2} - 5 = 2({I_3} - {I_2}) + ({I_1} + {I_3} - {I_2})$$

or $${I_1} - 4{I_2} + 3{I_3} = - 5$$ ...... (2)

$$({I_1} + {I_3}) + ({I_1} + {I_3} - {I_2}) = 2$$

or $$2{I_1} - {I_2} + 2{I_3} = 2$$ ...... (3)

on solving $${I_1} = {3 \over 2}A,{I_2} = 2,{I_3} = {1 \over 2}A$$

$$ = 1.50$$