mat-sln-asn-lqampere - Carrying Wire) Problem: The gure...

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Solution for Lab Quiz 19 Force and Torque Solution to Lab Quiz Problem 19.1(Wire Floating in Magnetic Field) Problem: A long wire carries I lw = 2 . 0 × 10 3 A down the x axis. A wire segment of length 20 . 0cm with mass 100 . 0g = 0 . 1000kg carrying I sw = 100 . 0A in the oppo- site direction Foats above and parallel to the ±rst wire in Earth’s gravity. How far above the ±rst wire does the sec- ond wire Foat? Select One of the ²ollowing: (a) 4 . 8 × 10 - 1 m (b) 8 . 7 × 10 - 1 m (c-Answer) 8 . 2 × 10 - 3 m (d) 1 . 1m (e) 3 . 3 × 10 - 2 m Solution The magnetic ±eld of an in±nite straight wire is B = μ 0 I lw 2 πr . The magnetic force on the wire segment is v F m = I v × v B = I sw LB ˆ z where I have assumed z is upward, and L is the length of the wire. This force must balance gravity, 1
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F g = mg so mg = I sw LB = I sw L μ 0 I lw 2 πd where d is the height at which the second wire foats. Solve For d , d = μ 0 LI sw I lw 2 πmg = (4 π × 10 - 7Tm A )(0 . 20m)(100 . 0A)(2 . 0 × 10 3 A) 2 π (0 . 10kg)(9 . 81 m s 2 ) = Pretty disappointing For the currents involved. Total Points for Problem: 3 Points Solution to Lab Quiz Problem 19.2(Direction of Force by a Magnet on a Current-
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Unformatted text preview: Carrying Wire) Problem: The gure shows a wire with current out oF the page suspended between the poles oF a magnet. What is the direction oF the magnetic Force on the current-carrying wire? Select One oF the ollowing: (a) Upward. (b) Downward. (c-Answer) To the right. (d) To the leFt. N S 2 Solution (a) The magnetic feld due to the magnet points out oF its north pole and into its south pole. ThereFore, the magnetic feld at the current-carrying wire points downward. (b) The current is out oF the page, and the magnetic Force on the current by the external magnetic feld can be Found to be to the right by using the right-hand-rule For the direction oF magnetic Force on a current on the Lorentz Force. Total Points for Problem: 3 Points 3...
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mat-sln-asn-lqampere - Carrying Wire) Problem: The gure...

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