A conducting loop is made in the form of two squares of sides s1 = 3.8cm and s2 = 7.9 cm as shown. At time t = 0, the loop enters a region of length L = 20.5 cm that contains a uniform magnetic field B = 1.1 T, directed in the positive z-direction. The loop continues through the region with constant speed v = 37 cm/s. The resistance of the loop is R = 1.1 Ω.
A.) At time t = t1 = 0.034 s, what is I1, the induced current in the loop? I1 is defined to be positive if it is in the counterclockwise direction.
B.) At time t = t2 = 0.728 s, what is I2, the induced current in the loop? I2 is defined to be positive if it is in the counterclockwise direction.
C.) What is Fx(t2), the x-component of the force that must be applied to the loop to maintain its constant velocity v = 37 cm/s at t = t2 = 0.728 s?
D.) At time t = t3 = 0.588 s, what is I3, the induced current in the loop? I3 is defined to be positive if it is in the counterclockwise direction.
A) At t = t1 = 0.034 s, small square will be inside the magnetic field.
induced emf in the loop, emf = B*v*s1
induced current, I1 = emf/R
= B*v*s1/R
= 1.1*0.37*3.8*10^-2/1.1
= 0.014 A
direction : clockwise
so, I1 = -0.014 A
B)
At t = t2 = 0.718 s, big square will be inside the magnetic field and moving out.
induced emf in the loop, emf = B*v*s2
induced current, I2 = emf/R
= B*v*s2/R
= 1.1*0.37*7.9*10^-2/1.1
= 0.0292 A
direction : counter clockwise
so, I2 = +0.0292 A
C) F(x) = B*I2*s2*sin(90)
= 1.1*0.0292*7.9*10^-2*1
= 2.53*10^-3 N
D)
At t = t3 = 0.588 s, small square will be inside the magnetic field and coming out.
induced emf in the loop, emf = B*v*s1
induced current, I3 = emf/R
= B*v*s1/R
= 1.1*0.37*3.8*10^-2/1.1
= 0.014 A
direction : counter clockwise
so, I3 = +0.014 A
A conducting loop is made in the form of two squares of sides s1 = 3.8cm...
A conducting loop is made in the form of two squares of sides s1 = 2.5cm and s2 = 6.7 cm as shown. At time t = 0, the loop enters a region of length L = 16.7 cm that contains a uniform magnetic field B = 1.1 T, directed in the positive z-direction. The loop continues through the region with constant speed v = 42 cm/s. The resistance of the loop is R = 2.7 Ω. 1) At time...
A conducting loop is made in the form of two squares of sides s1 = 3cm and s2 = 6.3 cm as shown. At time t = 0, the loop enters a region of length L = 17.3 cm that contains a uniform magnetic field B = 1.2 T, directed in the positive z-direction. The loop continues through the region with constant speed v = 35 cm/s. The resistance of the loop is R = 1.7 Ω. 1)At time t...
A conducting loop is made in the form of two squares of sides s1- 3.9cm and s2 6.7 cm as shown. At time t-0, the loop enters a region of length L = 19.5 cm that contains a uniform magnetic field B-1.8 T, directed in the positive z-direction. The loop continues through the region with constant speed v = 44 cm/s. The resistance of the loop is R 1.4 2 1) At time t = t1 = 0.03 s, what...
A conducting wire formed in the shape of a right triangle with base b = 38 cm and height h = 65 cm and having resistance R = 1.1 Ω, rotates uniformly around the y-axis in the direction indicated by the arrow (clockwise as viewed from above (loooking down in the negative y-direction)). The triangle makes one complete rotaion in time t = T = 1.8 seconds. A constant magnetic field B = 1.1 T pointing in the positive z-direction...
An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value 11 2.1 A att = t1 = 15 s, remains constant at this value until t = t2 when it decreases linearly to a value 4 = -2.1 A at t = t4 = 31 s, passing through zero at t = t3 = 25.5 s. A conducting loop with sides W 22...
A rectangular loop of wire with sides H = 24 cm and W = 64 cm carries current I2 = 0.331 A. An infinite straight wire, located a distance L = 29 cm from segment ad of the loop as shown, carries current I1 = 0.567 A in the positive y-direction.1)What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?2)What is Fbc,x, the x-component of the force exerted by the infinite...
An infinite straight wire carries current I1 = 3 A in the positive y-direction as shown. At time t = 0, a conducting wire, aligned with the y-direction is located a distance d = 50 cm from the y-axis and moves with velocity v = 12 cm/s in the negaitve x-direction as shown. The wire has length W = 24 cm. ) What is ε(0), the emf induced in the moving wire at t = 0? Define the emf to...
A square loop with sides of length L lies in the x-y plane in a region in which the magnetic field points in the z-direction and change over time as B(t)=B0e^(-5t/t0)k. Find the magnitude of the EMF induced in the wire, show the direction of the induced current in the loop using Lenz's law. A square loop with sides of length L lies in the r-y plane in a region in which the magnetic field points in the z-direction and...
A long straight wire and rectangular thin wire loop shown in the figure below are in the same plane with the geometrical dimensions specified as a=0.444 cm, b=2.75 cm and c=80.5 cm. The total resistance of the wire loop R=1.95 1. The long wire is driven by a triangle-wave generator resulting in the time-dependent current waveform I(t) also depicted in the figure. The magnitude of the waveform Io=13.24 A and the frequency f=56 Hz (temporal period of the waveform T=1/f)....