Maximum deflection Angle of Rod!

Electricity and Magnetism Level 5

Metal rod with a mass $m = 10 \text{ g}$ , and length $L = 0.2 \text{ m}$ is suspended by two light wires length $l = 1 \text{ cm}$ in a magnetic field induction $B = 1 \text{ T}$ which is directed vertically downwards (Figure). A capacitor of capacitance $C = 100 \mu \text{F}$ charged to a voltage of $100 \text{ V}$ is connected as shown. Determine the maximum deflection (in degree) of the rod from the initial position after the switch is closed. Resistance of wire and rod is not taken into account.

The answer is 37.

1 solution

Nishant Rai
Jun 2, 2015

$F= BiL$

$mv = \int F.dt = \int (i.dt) LB$

$m \sqrt{2gh} = BQL$

$m\sqrt{2gl(1-\cos \theta)} = BQL$

$\Rightarrow \theta = 37^0$

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Kyle Finch - 6 years ago

Maximum deflection Angle of Rod!

The answer is 37.

1 solution

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