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A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf that is induced in the loop if...
18. 20 points in the figure below, suppose the current in an infinitely long straight wire is moving towards the left and is given by I = Lot-e-It, where I, and are constants. Everything will be changing slow enough that our static field assumptions are fine. (a) Find the induced current, including direction, in the rectangular loop shown in the figure below if the loop has a resistance of R. (b) Assuming the loop is fixed in space, find the...
A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: μ0 and π.) (b) Suppose the current is changing with time according to I = a + bt, where a and b are...
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A loop wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. Determine the magnetic flux through the loop due to the current I. (use any variable stated above along with the following as necessary: mu_0 and pi) Suppose the current is changing with time according to t = sigma + bt, where a and b are constants....
Question 6 [5 marks] A rectangular loop with sides l = 30 cm and w 10 cm carries a current, I, of 2 A and lies centered in the xy-plane as shown below. The loop is in a region where there is a uniform magnetic field. The magnetic field is given by B (2 a3 ay + 4 az) x 102 Wb/m2. Determine the total force acting on the loop and the torque acting on the loop. Question 6 [5...
An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value 11 2.1 A att = t1 = 15 s, remains constant at this value until t = t2 when it decreases linearly to a value 4 = -2.1 A at t = t4 = 31 s, passing through zero at t = t3 = 25.5 s. A conducting loop with sides W 22...
5. A long straight copper wire of diameter 2 mm carries an alternating current of 10 A (rms) at 60 Hz. (a) Calculate the IR drop. To measure this voltage drop a sensitive ac voltmeter is connected across a length of the wire as shown. The voltmeter loop area is 50 cm x 50 cm. Calculate (b) the emf induced in the loop, (c) the ratio of the measured voltage and the IR drop. Repeat (b) and (c) at a...
Question 14 (7 points) A straight wire of length L carries a current I in the positive z-direction in a region where the magnetic field is uniform and specified by B = 3Bữ – 2Bỳ + Bĩ and B is a constant. What is the magnitude of the magnetic force on the wire? 1.0 ILB 03. 2 ILB O 3.6 ILB 4.2 ILB 0 5.0 ILB
An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value I1 = 5.5 A at t = t1 = 12 s, remains constant at this value until t = t2 when it decreases linearly to a value I4 = -5.5 A at t = t4 = 31 s, passing through zero at t = t3 = 24 s. A conducting loop with sides...