71. ★★ A current-carrying wire is located along the y-axis. An electric current of 5.00 A flows through this wire in the positive y-direction. Calculate the magnetic force per metre experienced by this wire when it is placed in the following magnetic fields: (a) B = (0.550 T)i (b) B = (0.550 T)j (c) B= (0.550 T)k (d) B= (0.550 T)i - (0.550 T)k

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solve d of 71, and question 88

88. A long copper wire of length L carries an electric
current, I. This wire can be formed into a coil consisting
of multiple loops while preserving the total length of the
wire. Find the optimal number of loops in the coil to
maximize the torque on the coil when it carries a cur-
rent, I, in a uniform magnetic field, B. Prove that the
maximum value of this torque is r = (1/4)L²IB.
Transcribed Image Text:88. A long copper wire of length L carries an electric current, I. This wire can be formed into a coil consisting of multiple loops while preserving the total length of the wire. Find the optimal number of loops in the coil to maximize the torque on the coil when it carries a cur- rent, I, in a uniform magnetic field, B. Prove that the maximum value of this torque is r = (1/4)L²IB.
71. ★★ A current-carrying wire is located along the y-axis.
An electric current of 5.00 A flows through this wire in
the positive y-direction. Calculate the magnetic force per
metre experienced by this wire when it is placed in the
following magnetic fields:
(a) B = (0.550 T)i
(b)
B = (0.550 T)j
(c) B= (0.550 T)k
(d) B= (0.550 T)i - (0.550 T)k
Transcribed Image Text:71. ★★ A current-carrying wire is located along the y-axis. An electric current of 5.00 A flows through this wire in the positive y-direction. Calculate the magnetic force per metre experienced by this wire when it is placed in the following magnetic fields: (a) B = (0.550 T)i (b) B = (0.550 T)j (c) B= (0.550 T)k (d) B= (0.550 T)i - (0.550 T)k
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