PHYS 241-1 Test 5 Do all work in the examination book. Three copducting bars and
ID: 1788020 • Letter: P
Question
PHYS 241-1 Test 5 Do all work in the examination book. Three copducting bars and a 0.20 resistor are assembled in a uniform magnetic field of 65 T as shown in Figure 1. The magnetic field is directed out of the diagram. The resistor is free to move and is palled to the right at the constant speed of 2.5 cm/s. Assume that the resistances in the conducting bars, wires and contacts are negligible.aso's 1. are negligible. 2.50 2.5 cm/so a. Express the area enclosed by the resistor and the conducting bars in terms of the distance x shown in Figure 1. (10 points) B 6.5T Find a formula for the magnetic flux enclosed by the resistor and the conducting bars. (+ should be in your formula.) (10 points) b· 30° 30em c. Find the magnitude and direction of the current in the resistor shown in Figure l when= 6.0 cm. (Hint: First use Faraday's law to find the emf induced in the loop.) (15 points) FigureExplanation / Answer
a) length of resistor = (3 +xsqrt 3) cm
area = 0.5*(3+ x sqrt3)*x = (1.5+0.866x^2) (ans)
b) FLux = B.ds = 6.5*(1.5+0.866x^2) = 9.75+5.63x^2 (ans)
c ) E = dF/dt = 11.26 x = 11.26*0.06= 0.68 V
I = E/R = 0.68/0.2 = 3.4 A in clockwise direction to nullify the increase in flux (ans)
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