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As shown in the figure, a conducting rod with a linear mass density of 0.0447 kg

ID: 1261632 • Letter: A

Question

As shown in the figure, a conducting rod with a linear mass density of 0.0447 kg/m is suspended by two flexible wires of negligible mass in a uniform magnetic field directed out of the page. A power supply is used to send a current through the rod such that the tension in the support wires is zero.

(a) If the magnitude of the magnetic field is 3.31 T, determine the current in the conducting rod.
?A

(b) Determine the direction of the current in the conducting rod.

To the left or to the right?

As shown in the figure, a conducting rod with a linear mass density of 0.0447 kg/m is suspended by two flexible wires of negligible mass in a uniform magnetic field directed out of the page. A power supply is used to send a current through the rod such that the tension in the support wires is zero. As shown in the figure, a conducting rod with a li (a) If the magnitude of the magnetic field is 3.31 T, determine the current in the conducting rod. (b) Determine the direction of the current in the conducting rod. To the left or to the right?

Explanation / Answer

Here , let take 1 m length of wire

L =1 m

Now ,

magnetic force , Fm = BIL

Gravity force , Fg = mg

Fg = 0.0447 * g*L

now , for Fm = Fg

0.0447 * g*L = 3.31 * I *L

I = 0.132 A

the current is 0.132 A

B)

as acting magnetic force must be upwards ,

Using right hand rule , the current in the circuit is to the left