Solve the questions The figure below shows two circular regions R1 and R2 with r

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The figure below shows two circular regions R1 and R2 with radii r1 = 14.0 cm and r2 = 25.0 cm. In R1 there is a uniform magnetic field of magnitude 1 = 50.0 mT into the page and in R2 there is a uniform magnetic field 2 = 75.0 mT out of the page (ignore fringing). Both fields are decreasing at the rate of 9.00 mT/s. Calculate the integral for each of the three dashed paths. path 1 V path 2 V path 3 V A long solenoid has a diameter of 12.0 cm. When a current i exists in its windings, a uniform magnetic field = 32.0 mT is produced in its interior. By decreasing i, the field is caused to decrease at the rate of 5.30 mT/s. Calculate the magnitude of the induced electric field at the following distances from the axis of the solenoid. 2.20 cm V/m 8.20 cm V/m In the figure below, a long rectangular conducting loop, of width L, resistance R, and mass m is hung in a horizontal, uniform magnetic field that is directed into the page and that exists only above the line aa. The loop is then dropped; during its fall it accelerates until it reaches a certain terminal speed vt. Ignoring air drag, find an expression for vt. (Use any variable or symbol stated above along with the following as necessary: B for the magnetic field strength, and g for the acceleration due to gravity.) Vt =

Explanation / Answer

Path 1 : 9*10^(-3)*3.14*0.14^2 = 0.00055 V
Path 2 : 0.0018 V

pATH 3 : - 0.0012

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