A loop of wire with radius r = 0.065 in a magnetic field w ith magnitude B as sh

Question

A loop of wire with radius r = 0.065 in a magnetic field w ith magnitude B as shown in the figure B changes from B1 =0.35 T to B_2 = 3.5 T in At = 2.5 s at a constant rate. The resistance of the w ire is R = 9 ohm. Express the magnetice flux psi going through a loop of radius r assuming a constant magnetic field B. Express the magnetic flux change. delta psi, in terms of B1, B_2 and r. Calculate the numerical value of delta psi in T m^2. Express the magnitude of the average emf, sigma induced in the loop in terms of delta psi and delta t. Calculate the numerical value of the emf in V. Express the current induced in the loop l. in terms of sigma and R. Calculate the numerical value of l in A. What's the direction of the current if you are looking down at the loop so that the magnetic field is coming towards you

Explanation / Answer

part a )

phi = BA

A = pi*r^2

phi = B*pi*r^2

part b )

dphi = phi2 - phi1

here B is changing

dphi = (B2-B1) * pir^2

part c )

given = B1 = 0.35 , B2 = 3.5

r = 0.065 m

dphi = 0.0418 T-m^2

part d )

e = dphi/dt

part e )

e = dphi/dt

dt = 2.5s

e = 0.0167 V

part f )

I = e/R

part g )

R = 9 ohm

I = 1.858 x 10^-3 A

part h )

towards down

phi = BAcostheta

let down side is 0 degree phi towards me 180 degree

phi = BA(Cos0 - cos180)

phi =BA

I = dphi/dt/R

I in direction of looking down

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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