A square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.1410 - 0.8500 t with B in teslas and t in seconds, what is the total emf in the circuit?

A square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.1410 - 0.8500 t with B in teslas and t in seconds, what is the total emf in the circuit?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 46P: Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform...

See similar textbooks

Similar questions

Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.25 T, which is directly into the page. The rod is pulled to the right at a constant speed of 5.0 m/s by a force . The only significant resistance in the circuit comes from the 2.0resistor shown. (a) What is the emf induced in the circuit? (b) What is the induced current? Does it circulate clockwise or counter clockwise? (c) What is the magnitude of(d) What are the power output of and the power dissipated in the resistor?
The square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?
The flip coil of the preceding problem has a radius of 3.0 cm and is wound with 40 turns of copper wire. The total resistance of tire coil and ballistic galvanometer is 0.20 When the coil is flipped through 180° in a magnetic fielda change of 0.090 C flows through the ballistic galvanometer. (a) Assuming that and the face of the coil are initially perpendicular, what is tire magnetic field? (b) If the coil is flipped through 90°, what is tire reading of the galvanometer?
Unreasonable results Frustrated by the small Hall voltage obtained in blood flow measurements, a medical physicist decides to increase the applied magnetic field strength to get a 0.500-V output for blood moving at 30.0 cm/s in a 1.50-cm-diameter vessel. (a) What magnetic field strength is needed? (b) What is unreasonable about this result? (C) Which premise is responsible?
The magnetic field through a single loop of wire 14.0 cm in radius and of 11.5 Ω resistance changes with time as shown in the figure. Calculate the emf in the loop as a function of time. a)What is the emf at t = 1.0 s? For the sign take the loop in the plane of the paper, and the magnetic field out of the paper. Take clockwise to be positive emf. b)What is the emf at t = 3.0 s? c)What is the emf at t = 5.0 s? d)What is the current at t = 1.0 s?
The magnetic field through a single loop of wire 12.0 cm in radius and of 7.5 Ω resistance changes with time as shown in the figure. Calculate the emf in the loop as a function of time.What is the emf at t = 1.0 s? For the sign take the loop in the plane of the paper, and the magnetic field out of the paper. Take clockwise to be positive emf. What is the emf at t = 3.0 s? What is the emf at t = 5.0 s? What is the current at t = 1.0 s?
1.8 Cast-steel Cross-sectional pap1 = 0.5 mm. area -3 cm? 1.6 l4 = 10 cm Silicon iron Cast iron 1.4 Mild steel 1.2 Cross-sectional area 32 ст? 1.0 0.8 Cast iron Cross-sectional area-1.4 cm? = 0.1 mm 0.6 (a) 0.4 0.2A 1000 2000 3000 4000 5000 6000 7000 Magnetic field strength, H(A/m) (b) Figure (1) Silicon Iron uɔ S7 = "1 Flux density, B(T)
The figure shows a 13-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.15 Ω In (Figure 1), what are the size and direction of the induced current? In (Figure 2), what are the size and direction of the induced current?
In the figure below, a 30.0 cm x 60.0 cm rectangular circuit containing a 18.10 resistor is perpendicular to a uniform magnetic field that starts out at 0.50 T and steadily increases to 2.11 T in 5.5 seconds. While this field is changing, what does the ammeter read (in mA)? Normal format with 3 SF. X X B 30.0 cm -60.0 cm- QUESTION 6 A R Following the previous question, the induced current running in the circuit is O A. counterclockwise O B. clockwise
3. A wire is moving on frictionless rails in a uniform magnetic field, as shown to the right. The wire is part of a complete circuit with a resistance R. a. If the magnetic field is 0.05 T and the wire is 5 cm long, what speed is necessary to produce an emf of 2 mV across the ends of the wire? b. If the resistance is 20 2, what is the current in the circuit?
in the figure below, a square loop with 10 turns that is 10.0 cm on a side has a magnetic field pointed into the page that is decreasing at the rate of 1.0 T/s. a) What is the magnitude of the emf generated in the wire and what is the direction of the resulting current along the top side of the loops? b) Assume the self inductance is 4.1 x 10-4 H and the wire’s resistance is 11 Ohms. How much energy is stored by the inductor while the magnetic field is decreasing at this fixed rate?
I I,- The picture shows two perpendicular wires where I1 is 14.6 amps, and I2 is 21.9 amps. The location A is in the plane of the two wires and is 25.0 mm from the x-axis and 15.9 mm from the y-axis. Given the direction of current in each wire, what is the B-field at the location A in micro teslas? (If the B-field points toward you, make it positive; if it points away from you, make it negative. Give answer as an integer with correct sign. Do not enter unit.)