Consider a uniform, fluctuating magnetic field B(t) = Bo cOS wt passing perpendicularly through a circular conducting loop with radius R = 10 cm. If B = 1 Tesla and w = 10, 000 radians per second, what is the magnitude of the induced emf (in Volt) at the moment B(t) is at its maximum value? (provide nearest integer value)
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- The magnetic field between the poles of the electromagnet in Fig. is uniform at any time, but its magnitude is increasing at the rate of0.020 T/s. The area of the conducting loop in the field is 120 cm2, andthe total circuit resistance, including the meter, is 5.0 Ω. (a) Find theinduced emf and the induced current in the circuit. (b) If the loop isreplaced by one made of an insulator, what effect does this have on theinduced emf and induced current?A flat coi has a 6.5 cm radius, 34 turns and has a total resistance of 750 micro olhms. If htis coil sits in the xy plane in a magnetic field with a z component that decreases at a rate of 2.7 T/s (dB/dt = -2.7 T/s), then waht is the magnitude of the induced current in the coil? Also, does the induced current clockwise or counterclockwise when viewed from above (+z)?A metal loop sits in the x-y plane. A magnetic eld is directed radians o the z-axis, and variesin time according to B(t) = Boe-at at where Bo and a are constants. Find the emf generated around theloop as a function of time.
- A 280-turn rectangular coil with area, A = 0.22 m², and resistance, R = 772, is rotating at a constant rate of 66 rpm in a uniform magnetic field, B = 0.473 T. (a) What is the angular speed of the rotating coil? w = 6.908 (b) Calculate the frequency, f, and period, T, of the coil's rotation. f = 1.1 Emax Emin = Induced EMF (2 of 2) (c) Find the maximum, minimum and rms-average emf induced during each rotation. Erms II 6.91 rads/s max Pavg 1.1 Hz and T = 0.909 = V V V (d) Calculate the maximum and average power generated during each cycle. P₁ 0.909 sec W WA magnetic field is uniform over a flat, horizontal circular region with a radius of 1.90 mm, and the field varies with time. Initially the field is zero and then changes to 1.50 T, pointing upward when viewed from above, perpendicular to the circular plane, in a time of 110 ms. (a) What is the average induced emf around the border of the circular region? (Enter the magnitude in µV and the direction as seen from above.) μν magnitude direction magnitude direction clockwise Need Help? (b) Immediately after this, in the next 75.0 ms, the magnetic field changes to a magnitude of 0.500 T, pointing downward when viewed from above. What is the average induced emf around the border of the circular region over this time period? (Enter the magnitude in µV and the direction as seen from above.) counterclockwise Read It ↑ μν as seen from above ↑ as seen from aboveImagine that we have a rectangular loop of wire (with a total resistance of 1.6 ohms) placed in a magnetic field that dies off as: 0.3*e-10t T into the page. What is the induced current in the coil at 0.002 s? The loop has a length of 1.7 m and a width of 1.7 m.