# Circuit problem with kirchoff's rule?

The right loop in the diagrammed circuit is a square with the length of a side being l = 80cm. The value of R is 3.0Ω. The battery provides an emf of 18V, and the magnetic field (which only passes through the right loop and points into the page at all times) varies in magnitude as a function of time according to:...
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The right loop in the diagrammed circuit is a square with the length of a side being l = 80cm. The value of R is 3.0Ω. The battery provides an emf of 18V, and the magnetic field (which only passes through the right loop and points into the page at all times) varies in magnitude as a function of time according to:

B(t) = B0 + beta(t)^2, B0 = 0.1 Tesla, beta = 0.30 Tesla/s^2

a.At t = 0 the voltmeter reads 6.0 volts. Find the power output of the lightbulb at this time.

b.The lightbulb is observed to gradually get dimmer until it goes dark, and then gradually grows brighter again. Find the moment in time t when the bulb is dark. [Hint: Does Kirchhoff ’s loop rule apply in its usual form to all of the loops?]

B(t) = B0 + beta(t)^2, B0 = 0.1 Tesla, beta = 0.30 Tesla/s^2

a.At t = 0 the voltmeter reads 6.0 volts. Find the power output of the lightbulb at this time.

b.The lightbulb is observed to gradually get dimmer until it goes dark, and then gradually grows brighter again. Find the moment in time t when the bulb is dark. [Hint: Does Kirchhoff ’s loop rule apply in its usual form to all of the loops?]

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