A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure
A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.45 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a= At2, where A = 6.5 m/s4. The resistance in the wire is R= 110Ω
Part (a) Express the magnitude of the magnetic flux going through the loop, Φ, in terms of B, x and L.
Part (b) Express the speed of the rod, v, in terms of A and t. Assume v= 0 at t=0.
Part (c) Express the position of the rod, x, in terms of A and t. Assume x = 0 at t=0.
Part (d) Express the derivative of the magnetic flux, dΦ/dt, in terms of B, A, L and t.
Part (e) Express the magnitude of the emf induced in the loop, ε, in terms of B, L, A and t.
Part (f) Express the current induced in the loop, I, in terms of ε and R.
Part (g) Express the current induced in the loop, I, in terms of B, L, A, t, and R.
Part (h) Calculate the numerical value of I at t = 2s in A.
Homework Answers
Add Answer to:
A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure
(8%) Problem 5: A conducting rod spans a gap of length L = 0.015 m and...
(8%) Problem 5: A conducting rod spans a gap of length L = 0.015 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field with magnitude B= 0.15 T pointing into the paper is in the region. The rod is pulled to the right by an external force, and moves with constant speed v= 0.015 m/s. The resistance in the wire is R = 190 2. X X Х...
A loop of wire with radius r=0.015 m is in a magnetic field with magnitude B as shown in the figure.
A loop of wire with radius r=0.015 m is in a magnetic field with magnitude B as shown in the figure. B changes from B1 = 0.35 T to B2 = 4.5T in Δt=5.5s at a constant rate. The resistance of the wire is R=5Ω.Part (a) Express the magnetic flux going through a loop of radius r assuming a constant magnetic field B. Part (b) Express the magnetic flux change, 40, in terms of B1, B2, and r. Part (c) Calculate the...
A rectangular coil has side a = 0.085 m, h = 0.055 m, and resistance R = 45Ω. It moves into a magnetic field with magnitude B = 0.65 T with speed v = 1.5 m/s.
A rectangular coil has side a = 0.085 m, h = 0.055 m, and resistance R = 45Ω. It moves into a magnetic field with magnitude B = 0.65 T with speed v = 1.5 m/s. Part (a) As the coil enters the magnetic field, express the magnitude of the magnetic flux going through the loop in terms of the given variables.Part (b) Express the magnitude of the emf, ε, induced in the loop in terms of B, a, and v.Part...
1. A conducting rod with length 0.5 m lies on top of a U-shaped rail that...
1. A conducting rod with length 0.5 m lies on top of a U-shaped rail that has a resistance R = 152, creating a rectangular conducting loop (see figure). The loop lies in a region of constant magnetic field B = 0.15 T with a direction that is pointing into the horizontal plane. The conducting rod experiences an external force that moves it to the right with an acceleration a = Ct2, where C = 1 m/s4. (a) Find the...
The conducting rod shown in the figure has length L and is being pulled along horizontal, frictio...
The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L 8.3 cm, the speed of the rod is v = 4.4 m/s, and the magnitude of the magnetic field is B = 1.0 T. (a) what...
A rectangular coil has side a = 0.055 m, b = 0.095 m, and resistance R=85Ω. It moves into a magnetic field with magnitude B = 0.45 T with speed v= 8.5 m/s.
A rectangular coil has side a = 0.055 m, b = 0.095 m, and resistance R=85Ω. It moves into a magnetic field with magnitude B = 0.45 T with speed v= 8.5 m/s.Part (a) As the coil enters the magnetic field, express the magnitude of the magnetic flux going through the loop in terms of the given variables and t, the time since the right side of the loop first entered the field. Part (b) Express the magnitude of the emf,...
Chapter 30, Problem 035 The conducting rod shown in the figure has length L and is...
Chapter 30, Problem 035 The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L-14 cm, the speed of the rod is v-6.9 m/s, and the magnitude of the magnetic field is B- 1.3 T a What...
A conducting square loop is in a uniform magnetic field B as shown. The side length...
A conducting square loop is in a uniform magnetic field B as shown. The side length of the loop is L = 60 cm, and the loop has an effective resistance of R = 0.045 Ohm. The magnitude of B decreases steadily from an initial value B_0 = 0.050 T to zero in 0.20 seconds, and stays at zero afterwards. Find the magnitude of the induced emf in the loop. What is the current in the loop? And in what...
In the figure, a conducting rod of length L = 31.0 cm moves in a magnetic field B of magnitude 0.460 T directed into the plane of the figure
In the figure, a conducting rod of length L = 31.0 cm moves in a magnetic field B of magnitude 0.460 T directed into the plane of the figure. The rod moves with speed v = 6.00 m/s in the direction shown. (Figure 1) Part C When the charges in the rod are in equilibrium, what is the magnitude of the electric field within the rod? Part F What is the magnitude E of the motional emf induced in the rod?
In the figure (Figure 1) a conducting rod of length L = 30.0 cm moves in...
In the figure (Figure 1) a conducting rod of length L = 30.0 cm
moves in a magnetic field B? of magnitude 0.470 T directed into the
plane of the figure. The rod moves with speed v = 5.60 m/s in the
direction shown. I need help with Part A,C,F,G
(8%) Problem 5: A conducting rod spans a gap of length L = 0.015 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field with magnitude B= 0.15 T pointing into the paper is in the region. The rod is pulled to the right by an external force, and moves with constant speed v= 0.015 m/s. The resistance in the wire is R = 190 2. X X Х...
1. A conducting rod with length 0.5 m lies on top of a U-shaped rail that has a resistance R = 152, creating a rectangular conducting loop (see figure). The loop lies in a region of constant magnetic field B = 0.15 T with a direction that is pointing into the horizontal plane. The conducting rod experiences an external force that moves it to the right with an acceleration a = Ct2, where C = 1 m/s4. (a) Find the...
The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L 8.3 cm, the speed of the rod is v = 4.4 m/s, and the magnitude of the magnetic field is B = 1.0 T. (a) what...
Chapter 30, Problem 035 The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L-14 cm, the speed of the rod is v-6.9 m/s, and the magnitude of the magnetic field is B- 1.3 T a What...
A conducting square loop is in a uniform magnetic field B as shown. The side length of the loop is L = 60 cm, and the loop has an effective resistance of R = 0.045 Ohm. The magnitude of B decreases steadily from an initial value B_0 = 0.050 T to zero in 0.20 seconds, and stays at zero afterwards. Find the magnitude of the induced emf in the loop. What is the current in the loop? And in what...
In the figure (Figure 1) a conducting rod of length L = 30.0 cm
moves in a magnetic field B? of magnitude 0.470 T directed into the
plane of the figure. The rod moves with speed v = 5.60 m/s in the
direction shown. I need help with Part A,C,F,G
Most questions answered within 3 hours.
-
For each of the Z-scores below, determine two probabilities
(show four three decimal places): (1) the...
asked 2 minutes ago -
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 2 hours ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 2 hours ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 2 hours ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 2 hours ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 2 hours ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 3 hours ago -
A current of I=8.0A is flowing in a typical extension cord of
length L=3.00m. The cord...
asked 3 hours ago -
1. When balancing the equation H2SO4 (aq) + NaOH (aq) →
Na2SO4(aq) + H2O(aq), would you...
asked 3 hours ago -
Provide a definition of “classification hierarchy” and
illustrate your definition with an example of how and...
asked 3 hours ago -
1. Describe the four main green solvents. Provide one example of
the use of each solvent....
asked 3 hours ago -
International ethics focus on:
1) exploitation of labor
2)corruption
3) environmental impact
4) none of the...
asked 3 hours ago