A very long thin lossless two-wire transmission line is short-circuited at one end and connected to the ideal current source of slowly time-varying current at the other end: i(t) = 10 cos(wt) Rectangular wire loop of side lengths a and b is placed in the plane of the line while its longer sides are parallel to the line wires (Figure below). Computing the magnetic fields as if the wires were infinitely long, find the induced emf in the loop d₁ d₂ b (↑) i(t)
Q: A 16 turn conductive loop with an enclosed are of 0.44 m? exists in the plane of the page. A uniform…
A: Number of turn N = 16 Area of loop = 0.44m2 value of B(t) = 3t2e-0.4t resistance of loop = 2.5ohm
Q: Lets think of a metallic rod and lets say it has a length L. Now, we start rotating it at an angular…
A: In this Question we have a metallic rod of length L that is rotating at an…
Q: If the magnetic field steadily decreases from B to zero during a time interval t, what is the…
A: The change in magnetic field (ΔBB→0) = 0 – B = - BThe time taken to bring this change in magnetic…
Q: rectangular loop of wire is located close to a long straight wire initially carrying a current I =…
A: According to Faraday second law Induced emf = rate of change of magnetic flux
Q: A magnetic field is uniform over a flat, horizontal circular region with a radius of 2.00 mm, and…
A: (a). The average induced emf around the border of the circular region is, ε=-AdBdt where A is the…
Q: A long solenoid has N turns, a length L and a circular cross section with a radius R. If the current…
A: A long solenoid has N turns, a length L and a circular cross section with a radius R. If the current…
Q: A prototype of an MRI consists of a set of 400 coils each having a radius of 0.30 m. To test its…
A: V=∆ϕ∆t=NBA∆t=NBπR2∆t=4001.2 T3.140.30 m23.6 s=37.7 V
Q: A rectangular loop of length L and width W is placed in a uniform magnetic field B with its plane…
A:
Q: A 16 turn conductive loop with an enclosed are of 0.55 m^2 exists in the plane of the page. A…
A:
Q: A moveable (massless and frictionless) bar with a length of L = 11/50 m is being moved at a constant…
A: Introduction: Faraday's First Law of Electromagnetic Induction: "When a conductor is placed in a…
Q: Consider a circular wire loop that is getting warmer and is expanding slightly, so that its diameter…
A:
Q: wire loop with a resistance of 2.5 ohms and a radius of 0.255m is places in a magnetic field that…
A: Given resistance of wire = 2.5 ohms radius of wire = 0.255 m B(t)=0.25e^(-.5t) We have to…
Q: A rectangular loop of length L and width W is placed in a uniform magnetic field B with its plane…
A: We will first write an expression for induced emf. Then we apply this expression to the given…
Q: Viewed from the and at a particular moment, a solenoid of diameter d =4.0 cm and n=10000 turns/m…
A:
Q: A moveable (massless and frictionless) bar with a length of L = 18/50 m is being moved at a constant…
A:
Q: A 20.9 turn conductive loop encloses an area of 0.57 m2. At what constant rate should the magnetic…
A: Given:- A 20.9 turn conductive loop encloses an area = 0.57 m2.…
Q: A 16.7 turn conductive loop with an enclosed are of 0.53 m2 exists in the plane of the page. A…
A: Using Faraday’s law of electromagnetic induction, the emf (e) induced is given by, Here, N denotes…
Q: The rectangular loop of N turns shown below moves to the right with a constant velocity v while…
A: Approach to solving the question: This question is based upon the concept of Faraday's law of…
Q: A circular loop of wire is placed in a uniform magnetic field pointing directly into the page, as…
A: r=1 mR=10ΩA=πr2=π m2∆B=2-0=2 T∆t=5 s
Q: The bar of length 1=20 cm, resistance 0.0005 Ohms and mass 1 kg shown in the figure slides from rest…
A: Given: Length of the bar (l) = 20 cm = 0.2 m Resistance in bar (R) = 0.0005 Ω. Mass of the bar (m)…
Q: The wire loop in Figure (a) is subjected, in turn, to six uniform magnetic fields, each directed…
A:
Q: A guitar's steel string vibrates (see figure below). The component of magnetic field perpendicular…
A: Given: Magnetic field perpendicular to area B=50+3.20 sin1046πt (in mT) , Number of turns N=26,…
Q: A conducting rod of resistance R= 2.0 N is free to slide without friction on parallel con- ducting…
A:
Q: Problem 2: As shown in the figure, a rod completes a circuit as it slides with constant velocity, v,…
A:
Q: D Question 3 2 pts In the figure, a wire and a 10 Q resistor are used to form a circuit in the shape…
A:
Q: A square loop 36 cm on a side has a resistance of 14 ohms. It is initially in a magnetic field of…
A:
Q: Consider a 75.0 Ohm, 5.85-cm circular loop (diameter) with 100.0 turns in the plane of the page and…
A:
Q: A circular loop of flexible iron wire has an initial circumference of, but its circumference is…
A: Solution- To find the induced electromotive force (emf) in the loop, you can use Faraday's law of…
Q: A square loop of dimensions 5.0 cm x 5.0 cm is initially in a 0.80-Tesla magnetic field, with its…
A: The area of the loop A= 5.0 cm x 5.0 cm = 25 cm2 =25×10-4 m2 The magnetic field intensity B = 0.8 T…
Q: A prototype of an MRI consists of a set of 600 coils each having a radius of 0.20 m. To test its…
A: Given,The number coils (turns), N= 600Radius, r = 0.20 mMagnetic field, B = 1.8 TTime interval, ∆t…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- A horizontal metal bar oriented east-west, is dropped straight down at a place where Earth's magnetic field is due north. As a result, an induced emf develops between the two ends of the bar. What would be the direction of the induced potential difference ? O Neither end carries any excess charge O West to east, the west end being at higher potential accumulating more positive charges O East to west, the west end being at higher potential (accumulating positive charges). O East to west, the east end being at higher potential accumulating more positive charges.17. A U-shaped wire is bridged by a small metal rod AB of length I, and the distance of the rod from the left end of wire is a at initial moment t=0 as indicated in the right figure. A uniform magnetic field is directed into of page. Now move the rod at constant velocity y to the right as indicated.(a) Calculate the magnetic flux through the loop formed by the wire and rod at any instant t. (b) Find the emf induced in the loop as the rod is moving. (c) Indicate the direction of the current induced in the loop. O wire 8 Al -rod t30The conducting loop of the shape shown in the figure is being pulled out of a constantBext magnetic field at a constant speed v. The left part of the loop KN is a semicircle ofradius a. The top and the bottom parts of the loop are equal, KL=NM=b. Theresistance per unit length of the conductor is r (Ω/m). During the time intervalbetween when line LM and then KN are at the border of the magnetic field,a) What is the direction ofthe induced current? Explainyour choice of direction.b) What is the EMFproduced in the loop?c) What is the size of theinduced current?
- Imagine that we have a rectangular loop of wire (with a total resistance of 1.6 ohms) placed in a magnetic field that dies off as: 0.3*e-10t T into the page. What is the induced current in the coil at 0.002 s? The loop has a length of 1.7 m and a width of 1.7 m.A 36 turn conductive loop encloses an area of 0.69 m2. At what constant rate should the magnetic field directed perpendicular to the loop change with time if the induced emf is to be 4.12 Volts? Consider only positive numbers here in your answer.Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.2 T, which is directly into the page. The rod is pulled to the right at a constant speed of 6 m/s by a force F. The only significant resistance in the circuit comes from the 2-Q resistor shown. (a) What is the voltage induced in the circuit? (b) What is the induced current? (c) What is the magnitude of F? (d) What are the power output of F and the power dissipated in the resistor? 2.0 2 4.0 cm Hint a. Voltage of is induced. b. An induced current of mA flows in Select an answer v direction. c. Force F of magnitude mN is needed to maintain the constant speed. d. Force F does work at the rate of mW; power of mW is dissipated in the resistor.
- A loop of wire enclosing an area A is placed in a region, where the magnetic field is perpendicular to the plane of the loop. The magnetic field of B varying in time according to the expression B=Be", where a is some -at constant. (a) Find the induced EMF in the loop as a function of time. (b) Find the expression for maximum induced EMF. (c) Using the following diagrams, show the directions [in Figure] of Induced-Current and Induced Magnetic Field for the circular loop 10A single-turn circular loop of wire that has a radius of 2.0 cm lies in the plane perpendicular to a spatially uniform magnetic field. During a 0.12-s time interval, the magnitude of the field increases uniformly from 0.2 T to 0.5 T. 1)Determine the magnitude of the emf induced in the loop during the time interval. (Express your answer to two significant figures.)Consider a conducting ring of radius a and resistance R. Next, we place the ring from part a in a time-varying magnetic field given by B = B. (1 – (1-) 0