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JEE Main 202324 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2023 · 24 January · Evening Shift · Physics · Magnetic Effects of Current

A single turn current loop in the shape of a right angle triangle...

A single turn current loop in the shape of a right angle triangle with sides 5cm,12cm,13cm5cm, 12cm, 13cm is carrying a current of 2A2A. The loop is in a uniform magnetic field of magnitude 0.75T0 . 75T whose direction is parallel to the current in the 13cm13cm side of the loop. The magnitude of the magnetic force on the 5cm5cm side will be x130N\dfrac{x}{130}N. The value of xx is _______.A single turn current loop in the shape of a right angle triangle with sides 5cm, 12cm, 13cm is carrying a current of

Correct answer

0

Step-by-step solution

A single turn current loop in the shape of a right angle triangle with sides 5cm, 12cm, 13cm is carrying a current of

Here, B=0.75TB = 0 . 75T

The magnitude of magnetic force on the 5cm5cm side is FAB=i×(lAB)Bsinθ(angle betweenAC and AB){F}_{AB} = i \times \left({l}_{AB}\right)Bsin\theta\left(\text{angle between}AC \text{ and } AB\right)

=2×(5100)×0.75×1213= 2 \times \left(\dfrac{5}{100}\right) \times 0 . 75 \times \dfrac{12}{13}

=9130N= \dfrac{9}{130}N

Hence, the value of x=9x = 9.

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