As shown below, a metal rod of length L = 10 cm is being pulled along horizontal, frictionless, conducting rails at a constant velocity v with v = 5.0m/s T В The rails are connected at one end with a metal strip. A uniform magnetic field of magnitude B 1.2 T, directed out of the page, fills the region in which the rod moves. The resistance of the rod is R 0.40 2, and assume that the resistance of the rails and metal strip is negligibly small (d) Find the magnitude of the external force on the rod that is needed to maintain the constant velocity (e) This set up is similar to the rail gun we may have looked previously, but this time the current is induced by the motion rather than provided by an external power source. When the current in the rail gun is due to an external source and is constant, and we ignore the effects of Faraday's law, we find that the rod has a constant acceleration. What happens to the acceleration of the rod if we now do include the effects of both an external source and Faraday's (and Lenz's) law, as compared to just the external source? Assume that the source of the current is a battery or similar source that contributes to the total EMF

As shown below, a metal rod of length L = 10 cm is being pulled along horizontal, frictionless, conducting rails at a constant velocity v with v = 5.0m/s T В The rails are connected at one end with a metal strip. A uniform magnetic field of magnitude B 1.2 T, directed out of the page, fills the region in which the rod moves. The resistance of the rod is R 0.40 2, and assume that the resistance of the rails and metal strip is negligibly small (d) Find the magnitude of the external force on the rod that is needed to maintain the constant velocity (e) This set up is similar to the rail gun we may have looked previously, but this time the current is induced by the motion rather than provided by an external power source. When the current in the rail gun is due to an external source and is constant, and we ignore the effects of Faraday's law, we find that the rod has a constant acceleration. What happens to the acceleration of the rod if we now do include the effects of both an external source and Faraday's (and Lenz's) law, as compared to just the external source? Assume that the source of the current is a battery or similar source that contributes to the total EMF

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a…

Q: nigure, a metal rod is force move with constant velocity along two parallel metal ralls, connected…

Q: As shown in the drawing, a loop is in the plane of the page. The magnetic field is perpendicular to…

A: Step 1:Step 2:Step 3:

Q: In the figure below, a long rectangular conducting loop, of width L = 8 cm, resistance R = 10 N, and…

A: Given a long rectangular conducting loop with width L = 8cm = .08m Resistance R = 10 Ω m = .09 kg…

Q: A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit with resistance…

A: Given: Length of bar (L) = 0.33 m Constant speed of bar (v) = 0.10 m/s along +x axis Strength of…

Q: A rod of mass m = 0.6 kg rests on two parallel metal rails that are a distance L = 0.1 m apart. The…

Q: 1. A conducting bar with resistance R = 89.7 mN slides down two conducting rails that have no…

Q: The conducting rod shown in the figure has length L and is being pulled along horizontal,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The two conducting rails in the drawing are tilted upward so they each make an angle of 30.0° with…

Q: A metal bar is sliding on two metal rails with constant speed v = 0.40 m/s, as shown below. The…

A: As the metal rod, being in contact with the metal rails throughout its motion, is moving through the…

Q: In the figure, a metal rod is forced to move with constant velocity along two parallel metal rails,…

Q: A conducting loop with area 0.15 m² and resistance 5.0 S lies in the x-y plane. A spatially uniform…

Q: A very long solenoid with a circular cross section and radius r= 8.10 cm with n= 1.00E+4 turns/m has…

A: Magnetic energy density for a solenoid is given by uB = μ0 n2 I2 /2 Where μ0 is magnetic…

Q: A conducting rod is pulled horizontally with constant force F= 3.90 N along a set of rails separated…

A: Force (F) = 3.90 N separation between rails (d) = 0.44 m B = 0.5 T v = 4.80 m/s

Q: A loop of wire of radius aaa = 30. mmmm has an electrical resistance RRR = 0.039 ΩΩ . The loop is…

Q: A very long, rectangular loop of wire can slide without fnction on a horizontal surface. Initially…

Q: two frictionless conducting rails (#1 and #2) are attached to a 20.0° incline such that the inside…

A: This question is based on moving charges and magnetism topic. Knowledge of the formula of magnetic…

Q: 5b. As the rod drops and current is induced in the rod, there is a magnetic force acting on the rod…

Q: = 1.30 N. The friction between the bar and rails is negligible. The resistance R = 8.00 Q, the bar…

Q: As shown in the drawing, a loop is in the plane of the page. The magnetic field is perpendicular to…

A: The function of the magnetic flux is given as follows.

Q: As shown in the drawing, a loop is in the plane of the page. The magnetic field is perpendicular to…

A: Since1A=106μA.Therefore, the current I=3.43μA.

Q: 5c. Express the acceleration of the rod a as a function of vy by going through these steps: i. Using…

A: Given, L=20.0cmR=12.0Ωm=60.0gB=1.20 T

Q: A flexible conducting loop of diameter do and resistance R lies perpendicular to a uniform magnetic…

A: When a conducting loop is placed perpendicular to a magnetic field, a potential difference is…

Q: 5d. Find the terminal velocity VT of the rod: i. The terminal velocity vT of the rod in terms of B,…

A: Have a look

Q: In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a…

A: Given Fapp = 1.05 N Resistance R = 8 Ohm Speed v = 1.65 m/s Magnetic field B = 3.2 T

Q: In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a…

A: Given, The magnitude of the force, Fapp=1.45N Resistance, R=8Ω The bar is moving with speed,…

Question

As shown below, a metal rod of length L = 10 cm is being pulled along horizontal, frictionless,
conducting rails at a constant velocity v with v = 5.0m/s
T
В
The rails are connected at one end with a metal strip. A uniform magnetic field of magnitude
B 1.2 T, directed out of the page, fills the region in which the rod moves. The resistance of the
rod is R 0.40 2, and assume that the resistance of the rails and metal strip is negligibly small

(d) Find the magnitude of the external force on the rod that is needed to maintain the constant
velocity
(e) This set up is similar to the rail gun we may have looked previously, but this time the current is
induced by the motion rather than provided by an external power source. When the current in
the rail gun is due to an external source and is constant, and we ignore the effects of Faraday's
law, we find that the rod has a constant acceleration. What happens to the acceleration of the
rod if we now do include the effects of both an external source and Faraday's (and Lenz's) law,
as compared to just the external source? Assume that the source of the current is a battery or
similar source that contributes to the total EMF

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step 10

Trending now

This is a popular solution!

Step by step

Solved in 10 steps with 10 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A bar slides to the right at a constant speed of 2.1 m/s on two frictionless rails. The resistance of resistor R is 5.2 Q, and a 2.5 T constant magnetic field is directed perpendicularly downward, into the page. Let e = 1.2 m. Bin x x app x x (a) Find the current passing through the resistor. A I = (b) The direction of magnetic force on the moving bar is O No magnetic force O Right O Left O Out of the page O Into the page 1 x x x X x x x x X X x x * * x x x * * x x x x x x xx X X x x
A rod of length L = 10.0 cm that is forced to move at constant speed v = 5.00 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.400 Ω; the rest of the loop has negligible resistance. A current i = 100 A through the long straight wire at distance a = 10.0 mm from the loop sets up a (nonuniform) magnetic field through the loop. Find the (a) emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod?
An aluminum bar of length l = 7.00 cm slides along metal rails through a magnetic field B = 2.40 T. The switch closes at t = 0 s, while the bar is at rest, and a battery of emf εbat = 4.16 V starts a current flowing around the loop. Solve for the terminal velocity if the battery has an internal resistance r = 0.240 Ω and the resistance of the rails and the bar are negligible.
The above picture depicts a moveable vertical conducting bar sliding on fixed conducting rails. At time t, what is the formula for the power delivered by the magnetic field of magnitude B onto the bar of length L that is moving to the right at speed v with current I flowing through it? Group of answer choices + I L B v t 0 + I L B v − I L B v − I L B v t
A solid conducting bar is free to move across two ends of a conducting U shape of wire that are separated by L=25 cm. On the base of the U shape is a resistor R=20 ohms. The whole apparatus is in a constant magnetic field B=0.7 T pointing out of the page. If the conducting bar has negligent resistance itself and is moved to the right at a constant velocity of 12 m/s, what is the magnitude and direction of the current induced in the loop? a) 0.11 A, clockwise b) 0.11 A, counterclockwise c) 2.1 A, clockwise d) 2.1 A, counterclockwise
L R = 5.00 Q X Xix x 1 |X X X X R P = FexV =8.50 J/s Fext W X xx x X X X X X X X X A rectangular wire loop of length L, width w, is pulled out of a constant, uniform magnetic field with constant velocity v. The loop has a resistance R. The magnetic field of magnitude B, points into the plane of the paper, and is confined to the rectangular region shown above. Work must be done on the loop at the rate of P, to move it through the magnetic field at constant velocity. Find the magnitude of the emf, & and the current I for the loop.
Find the flux of the Earth's magnetic field of magnitude 5.00 ✕ 10-5 T, through a square loop of area 30.0 cm2 for the following. (a) when the field is perpendicular to the plane of the loop T·m2(b) when the field makes a 30.0° angle with the normal to the plane of the loop T·m2(c) when the field makes a 90.0° angle with the normal to the plane T·m2
Asap
A square wire loop (side length 1.5 m) is oriented so that it is perpendicular to an external magnetic field B, with half the area of the loop embedded in the field, as shown below. The loop contains a battery with a constant emf Eb = 7.2 V and a resistor R = 3.2 Ω. The external magnetic field is B(t) = [0.027 T − (0.56 T/s) t] î where î is out of the page. (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Find the emf produced by induction in the loop. (b) Find the net current in the loop from both the induced emf and the battery. (c) What direction is the current in?
In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude F = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a app constant speed of 2.25 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. R i (a) What is the current through the resistor (in A)? 0.5929 A Fapp (b) If the magnitude of the magnetic field is 2.60 T, what is the length / (in m)? 0.81 m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.812 ✓ W (d) What is the mechanical power delivered by the applied constant force (in W)? W What If? Suppose the magnetic field has an initial value of 2.60 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.25…