Question

In: Physics

A 40-turn loop of wire has an area of 4.5 x 10-2 m2 and an unknown...

A 40-turn loop of wire has an area of 4.5 x 10-2 m2 and an unknown amount of current is flowing around it. The current loop is in a region of a uniform magnetic field of magnitude 0.75 T and is experiencing a torque of 0.90 N.m.

a) What orientation of the current loop gives the maximum torque on it? Explain your reasoning. If it helps, provide a clear sketch showing the direction of the magnetic field and the direction of the area vector of the loop.

b) If the current loop is experiencing the maximum possible torque of 0.90 N.m for the given conditions, what is the current in the wire?

Work shown appreciated!

Solutions

Expert Solution


Related Solutions

A wire loop has an area of 0.36 m2 and a resistance of 1.5 ?. The...
A wire loop has an area of 0.36 m2 and a resistance of 1.5 ?. The loop lies in a horizontal plane where there is a downward-directed magnetic field of magnitude 0.015 T. The wire is pulled to one side so that it is completely out of the field after 0.20 s. For the 0.20-s period during which the loop is being pulled out of the magnetic field, find the following: a. Find the average induced emf in the loop....
An iron wire has a cross-sectional area of 5.70 ✕ 10−6 m2. Carry out steps (a)...
An iron wire has a cross-sectional area of 5.70 ✕ 10−6 m2. Carry out steps (a) through (e) to compute the drift speed of the conduction electrons in the wire. (a) How many kilograms are there in 1 mole of iron?____ kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). _____mol/m3 (c) Calculate the number density of iron atoms using...
A steel wire with a cross-section area 2.5X10^-3 m2 and a length of 10 m is...
A steel wire with a cross-section area 2.5X10^-3 m2 and a length of 10 m is used to pull a truck on the road. The truck is 10 tons and the friction coefficient between the tires and road is 0.25N/kg. Steel has a Young’s modulus 250MPa. Suppose this wire contain surface cracks. Determine the largest linear size of the surface crack so that the wire will not fail due to fracture in this application. Kc = 0.1 MPa m^0.5
A 1.5 m length of wire has a cross-sectional area of 5.0×10−8 m2. When the potential...
A 1.5 m length of wire has a cross-sectional area of 5.0×10−8 m2. When the potential difference across its ends is 0.20 V, it carries a current of 0.40 A. What is the resistivity of the material from which the wire is made?
A plane of area 0.25m2and surface charge density s=4.5 nC/m2 lies in the x = 0.00...
A plane of area 0.25m2and surface charge density s=4.5 nC/m2 lies in the x = 0.00 m plane, and a second plane of surface charge density s= -4.50 nC/m2 lies in the x = 0.0200 m plane. Find:a.find the capacitance, the stored charge, and the potential energy of the system. b.the electric potential difference between the 2 planes.c.the electric field at (i) x = 0.0180 m and (ii) x = 0.0500 m (508 N/C and 0 N/C). d.What is the...
A rectangular coil of wire with an area of 0.167 m2 is situated in a constant...
A rectangular coil of wire with an area of 0.167 m2 is situated in a constant magnetic field whose magnitude is 0.406 T. Suppose the normal to the surface of the coil is parallel to the direction of the magnetic field (this means the magnetic field is also normal, or perpendicular, to the surface of the coil). What is the flux through the surface? Tries 0/10 If the area of the coil is reduced to 0.110 m2 while keeping the...
Problem 3. A square loop of wire is made up of 50 turns of wire, 40...
Problem 3. A square loop of wire is made up of 50 turns of wire, 40 cm on each side. The loop is immersed in a 0.4−T magnetic field perpendicular to the plane of the loop. The loop of wire has little resistance but it is connected to two resistors in parallel as shown. When the loop of wire is rotated by 180°, how much charge flows through the circuit? How much charge goes through the smaller resistor? What is...
A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field...
A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field that has an initial value of 3.8 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s. (a) What emf is induced in this loop? (b) If the loop has a resistance of 0.600O, find the current induced in the loop.
The area enclosed by the wire loop in the figure below is reduced from 31 cm2...
The area enclosed by the wire loop in the figure below is reduced from 31 cm2 to 12 cm2 in a time interval of 0.11 s. The magnitude of the magnetic field is 0.53 T. Find the emf induced in the wire.
A cylinder of 10-m-high, and a cross-sectional area of 0.1 m2 , has a piston (that...
A cylinder of 10-m-high, and a cross-sectional area of 0.1 m2 , has a piston (that is free to move) assumed to have negligible mass and thickness (see Figure 1(a)). Above the piston there is a liquid that is incompressible (constant density and volume) with ρliquid = 1000 kg/m3 . Below the piston there is air at 300 K, with a volume of 0.3 m3 . Assume air is an ideal gas (Ru =8.314 J.mol-1 .K-1 ; Mair = 28.9628...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT