A uniform magnetic field passes through a horizontal circular wire loop at an angle $19. 5^{?}$ from the vertical. The magnitude of the magnetic field $B$ changes in time according to the equation $B (t) = (3.75 T) + (3.05 \frac{T}{s}) t + (? 6.15 \frac{T}{s ^{2}}) t^{2}$ If the radius of the wire loop is $0.230 m$ , find the magnitude $E$ of the induced $emf$ in the loop when $t = 6.03 s$ .

Question

A uniform magnetic field passes through a horizontal circular wire loop at an angle

19. 5^{?}

from the vertical. The magnitude of the magnetic field

B

changes in time according to the equation

B (t) = (3.75 T) + (3.05 \frac{T}{s}) t + (? 6.15 \frac{T}{s ^{2}}) t^{2}

If the radius of the wire loop is

0.230 m

, find the magnitude

E

of the induced

emf

in the loop when

t = 6.03 s

.

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