SATHEE: Magnetics 1 Question 17

Magnetics 1 Question 17

17. A conductor (shown in the figure) carrying constant current $I$ is kept in the $x - y$ plane in a uniform magnetic field $B$ . If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are

(2015 Adv.)

(a) if $B$ is along $\hat{z}, F \propto (L + R)$

(b) if $B$ is along $\hat{x}, F = 0$

(d) if $B$ is along $\hat{z}, F = 0$

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Answer:

Correct Answer: 17. (a,b.c)

Solution:

Force on the complete wire $=$ force on straight wire $P Q$ carrying a current $I$ .

$F = I (P Q \times B) = I [2 (L + R) \hat{i} \times B]$

This force is zero if $B$ is along $\hat{i}$ direction or $x$ -direction. If magnetic field is along $\hat{j}$ direction or $\hat{k}$ direction,

$| F | = F = (I) (2) (L + R) B \sin 90^{\circ}$

or $F = 2 I (L + R) B$ or $F \propto (L + R)$

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Magnetics 1 Question 17

17. A conductor (shown in the figure) carrying constant current I is kept in the x−y plane in a uniform magnetic field B. If F is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are

Answer:

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17. A conductor (shown in the figure) carrying constant current $I$ is kept in the $x - y$ plane in a uniform magnetic field $B$ . If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are