uniform magnetic field is at right angles to the plane of a wire loop. The field

Question

uniform magnetic field is at right angles to the plane of a wire loop. The field decreases by 0.23 Tin 3.0×103 s and the magnitude of the average emf induced in the loop is 84 V .

What is the area of the loop?

Express your answer using two significant figures.

What would be the value of the average induced emf if the field change was the same but took twice as long to decrease?

Express your answer using two significant figures.

What would be the value of the average induced emf if the field decrease was twice as much and it also took twice as long to change?

Express your answer using two significant figures

Explanation / Answer

V = 84 V

B2-B1 = -0.23 T , t =3x10^-3 s

From faraday's law induced emf V = -d(phi)/dt = A(B1-B2)/t

A = Vt/(B1-B2) = (84x3x10-3)/(0.23) =1.096

Area of loop is A = 1.1 m^2

(b) tnew = 2t

V = A(B1-B2)/t

Vnew =V/2 = 84/2

Vnew = 42 V

(c) V = A(B1-B2)/t

(B1 -B2)new = 2(B1-B2)

tnew = 2t

Vnew = 2x84/2

Vnew =84 V

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.