A square frame - of mass m and side a carries a current i- It is placed in a B-field in the x-y plane making an angle 45-with x-axis- Find the initial angular acceleration of the frame if I0-4ma2-3kgm2-

I_0=4ma^2/3 I+I=4ma^2/3 ⇒ I=2ma^2/3 M=ia^2 Z=M B sin⁡ 90^∘ Z=ia^2 B I α=ia^2 B 2ma^2/3α =ia^2 B α =3 iB/2 ...

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Standard XII

Physics

Torque

A square fram...

Question

A square frame $λ$ of mass m and side a carries a current i. It is placed in a B-field in the x-y plane making an angle $45^{\circ}$ with x–axis. Find the initial angular acceleration of the frame if $I_{0} = \frac{4 m a^{2}}{3} k g m^{2}$ .

\frac{i B}{m}

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Z e r o

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\frac{3 i B}{2 m}

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\frac{2 i B}{3 m}

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Solution

The correct option is C $\frac{3 i B}{2 m}$

$I_{0} = \frac{4 m a^{2}}{3}$
$I + I = \frac{4 m a^{2}}{3}$
$\Rightarrow I = \frac{2 m a^{2}}{3}$
$M = i a^{2}$
$Z = M B s i n 90^{\circ}$
$Z = i a^{2} B$
$I α = i a^{2} B$
$\frac{2 m a^{2}}{3} α = i a^{2} B$
$α = \frac{3 i B}{2}$

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Similar questions

Q. A square frame

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[Answer upto two decimal points]

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A square frame λ of mass m and side a carries a current i. It is placed in a B-field in the x-y plane making an angle 45∘with x–axis. Find the initial angular acceleration of the frame if I0=4ma23kgm2.

The correct option is C 3iB2m I0=4ma23 I+I=4ma23 ⇒I=2ma23 M=ia2 Z=M B sin 90∘ Z=ia2 B Iα=ia2 B 2ma23α=ia2 B α=3 iB2

A square frame $λ$ of mass m and side a carries a current i. It is placed in a B-field in the x-y plane making an angle $45^{\circ}$ with x–axis. Find the initial angular acceleration of the frame if $I_{0} = \frac{4 m a^{2}}{3} k g m^{2}$ .

The correct option is C $\frac{3 i B}{2 m}$

$I_{0} = \frac{4 m a^{2}}{3}$
$I + I = \frac{4 m a^{2}}{3}$
$\Rightarrow I = \frac{2 m a^{2}}{3}$
$M = i a^{2}$
$Z = M B s i n 90^{\circ}$
$Z = i a^{2} B$
$I α = i a^{2} B$
$\frac{2 m a^{2}}{3} α = i a^{2} B$
$α = \frac{3 i B}{2}$