Part 1) A wire lying along the a-axis from a = 0 to a = 30.0 cm carries a current I = 3.98 mA in the positive z-direction, the i direction. The wire lies in a non-uniform magnetic field described by B = 0.500zi + 0.500z j, where a is in m and B is in T. What is the magnetic force on the wire? F = Part 2) Consider the magnetic field at point P due to a current carrying wire consisting of one semi-circle connected and two straight sections, where point Pis in the centre of the semi-circle. The radius of the semi-circle is r = 0.559 m. the length of the two straight sections is also r = 0.559 m. A current I2 = 0.236 A flows anti-clockwise around the loop. What is the magnetic field, B, at point P due to the current around the entire loop? Choose the direction and include a sign in your answer, so for example if it is down the screen choose "up the screen" and then enter a negative sign to show it is down the screen B = in the direction (No answer given) Part 3) If the same semi-circular wire as in Part 2 is now reformed into a loop as shown in the above figure and is placed in a time-varying magnetic field, described by B(t) = 0.714tkT directed out of the screen what EMF is induced in the loop? |8| =|

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Chapter1: Units, Trigonometry. And Vectors
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Part 1)
A wire lying along the a-axis from x = 0 to x = 30.0 cm carries a current I = 3.98 mA in the positive x-direction, the i direction. The wire lies in a non-uniform magnetic field described by
B = 0.500xi + 0.500xj, where a is in m and Bis in T. What is the magnetic force on the wire?
FB =
k N
Part 2)
P
Consider the magnetic field at point P due to a current carrying wire consisting of one semi-circle connected and two straight sections, where point Pis in the centre of the semi-circle. The radius of the semi-circle is
r = 0.559 m. the length of the two straight sections is also r = 0.559 m. A current I2 = 0.236 A flows anti-clockwise around the loop. What is the magnetic field, B. at point P due to the current around the entire
loop? Choose the direction and include a sign in your answer, so for example if it is down the screen choose "up the screen" and then enter a negative sign to show it is down the screen
В —
T
in the direction
(No answer given)
Part 3)
If the same semi-circular wire as in Part 2 is now reformed into a loop as shown in the above figure and is placed in a time-varying magnetic field, described by B(t) = 0.714tk T directed out of the screen what EMF is
induced in the loop?
|8| =
V
Transcribed Image Text:Part 1) A wire lying along the a-axis from x = 0 to x = 30.0 cm carries a current I = 3.98 mA in the positive x-direction, the i direction. The wire lies in a non-uniform magnetic field described by B = 0.500xi + 0.500xj, where a is in m and Bis in T. What is the magnetic force on the wire? FB = k N Part 2) P Consider the magnetic field at point P due to a current carrying wire consisting of one semi-circle connected and two straight sections, where point Pis in the centre of the semi-circle. The radius of the semi-circle is r = 0.559 m. the length of the two straight sections is also r = 0.559 m. A current I2 = 0.236 A flows anti-clockwise around the loop. What is the magnetic field, B. at point P due to the current around the entire loop? Choose the direction and include a sign in your answer, so for example if it is down the screen choose "up the screen" and then enter a negative sign to show it is down the screen В — T in the direction (No answer given) Part 3) If the same semi-circular wire as in Part 2 is now reformed into a loop as shown in the above figure and is placed in a time-varying magnetic field, described by B(t) = 0.714tk T directed out of the screen what EMF is induced in the loop? |8| = V
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