The square wire loop 0.50 m on a side in the figure lies at right angles to a un

Question

The square wire loop 0.50 m on a side in the figure lies at right angles to a uniform magnetic field initially of 1.0 T that points out of the page.  A 2 ohm light bulb is in the loop as shown in the figure.  The magnetic field decreases steadily in magnitude to 0 T and back up to 3 T but in the opposite direction (into the page).  The change covers a time interval of 0.1 seconds.

(a) What is the magnitude of the induced EMF during this change?

(b) What is the magnitude of the induced current during this change?

(c) What direction does the current cirulate in the loop during the change?

The square wire loop 0.50 cm on a side in the figure lies at right angles to a uniform magnetic sold initially of 1.0 T that points out of the page. A 2 Ohm light bulb is in the loop as shown in the figure. The magnetic sold decreases steadily in magnitude to 0 T and back up to 3 T but in the opposite direction (o.e., into the page). The change covers a time interval of 0.0 sec. What is the magnitude of the induced emf during this change? What is the magnitude of the induced current? What is the magnitude of the induced current? What direction does the current circulate in the loop during the change?

Explanation / Answer

a) emf = A dB/dt = a^2 dB/dt = 0.5*0.5 * (3+1)/0.1 = 10 V --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- b) i = emf/R = 10/2 = 5 A --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- c) counterclockwise

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