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Magnetic Effects of Curre question bank (Physics)

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Q1.

Figure shows a current carrying square loop ABCD of edge length is ' $a$ ' lying in a plane. If the resistance of the $A B C$ part is $r$ and that of $A D C$ part is 2 r , then the magnitude of the resultant magnetic field at centre of the square loop is

(A)

$\frac{3 \pi \mu_0 \mathrm{I}}{\sqrt{2} \mathrm{a}}$

(B)

$\frac{\mu_0 \mathrm{I}}{2 \pi \mathrm{a}}$

(C)

$\frac{\sqrt{2} \mu_0 \mathrm{I}}{3 \pi \mathrm{a}}$

(D)

$\frac{2 \mu_0 \mathrm{I}}{3 \pi \mathrm{a}}$

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Q2.

Consider a long thin conducting wire carrying a uniform current I. A particle having mass " M " and charge " $q$ " is released at a distance " $a$ " from the wire with a speed $v_0$ along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance $x$ from the wire. The value of $x$ is [ $\mu_0$ is vacuum permeability]

(A)

$a e^{-\frac{4 \pi \mathrm{mv}_{\mathrm{o}}}{\mathrm{q} \mu_{\mathrm{o}} \mathrm{I}}}$

(B)

$a\left[1-\frac{\mathrm{mv}_{\mathrm{o}}}{2 q \mu_{\mathrm{o}} \mathrm{I}}\right]$

(C)

$a\left[1-\frac{\mathrm{mv}}{\mathrm{q} \mu_{\mathrm{o}} \mathrm{I}}\right]$

(D)

$\frac{a}{2}$

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