Question

In: Physics

Ampère's law in free space may be written as ∮ ? . ?? = ??? a)...

Ampère's law in free space may be written as ∮ ? . ?? = ???

a) Write the equation in words, giving the meaning of each parameter.

b) Starting with the equation above obtain an expression for the law in differential form.

c) A long wire P carries a current ?. Use the law to show that the magnetic field at a radial distance r from the wire is ? = ??? / 2?? [3] [4] [4] Page 4 of 4 A second long wire Q is placed parallel to wire P, with the two wires separated by a perpendicular distance ?. The second wire also carries a current ? but in the opposite direction to the current in wire P.

d) Draw a diagram to illustrate the wires and the directions of the currents.

e) Show on the diagram the directions of the forces that the wires experience. Explain clearly the reason for these directions.

f) Show that the force per unit length on the wires is ??? ^2 / 2??

g) Power lines separated by a distance of 2.0 m carry a current of 180 A. Determine the force per unit length experienced by each wire.

Solutions

Expert Solution


Related Solutions

a. Briefly explain Electrostatics. Express the fundamental postulates (law) for electrostatics in free space. Express it...
a. Briefly explain Electrostatics. Express the fundamental postulates (law) for electrostatics in free space. Express it in both differential and integral forms? b. Explain two ways a magnetic field can be produced? c. There is no existence of a magnetic charge. Explain? d. Write the expression for the law of conservation of magnetic Flux? Thanks chegg expert.Already rated.
A space station is located in a gravity-free region of space. It consists of a large...
A space station is located in a gravity-free region of space. It consists of a large diameter, hollow thin-walled cylinder which is rotating freely about its axis. It is spinning at a speed such that the apparent gravity on the inner surface is the same as that on earth. The cylinder is of radius r and mass M. (a) What is the minimum total work which had to be done to get the cylinder spinning up to speed. (b) Radial...
In Pennsylvania, the law reads “a written release or promise, hereafter made and signed by the...
In Pennsylvania, the law reads “a written release or promise, hereafter made and signed by the person releasing or promising, shall not be invalid or unenforceable for lack of consideration, if the writing also contains an additional express statement, in any form of language, that the signer intends to be legally bound.” This law is called the Uniform Written Obligations Act. Do you think this is a fair and reasonable law?? Must be 250 words or more, and if you...
The rate law for the reaction between catalase and hydrogen peroxide can be written as Rate...
The rate law for the reaction between catalase and hydrogen peroxide can be written as Rate = k [H2O2]x [catalase]y. A catalase solution of unknown, but constant concentration is prepared. Can the partial order with respect to the peroxide (x) be found using this catalase solution? If so, how would you do it? Describe in detail the steps you would take or show a calculation.
The rate law for the reaction between catalase and hydrogen peroxide can be written as Rate...
The rate law for the reaction between catalase and hydrogen peroxide can be written as Rate = k [H2O2]^ x [catalase]^y . A catalase solution of unknown, but constant concentration is prepared. Can the partial order with respect to the peroxide (x) be found using this catalase solution? If so, how would you do it? Describe in detail the steps you would take or show a calculation.
Hess's law of heat summation states that when a chemical equation can be written as the...
Hess's law of heat summation states that when a chemical equation can be written as the sum of two or more steps, the enthalpy change for the overall equation is equivalent to the sum of the enthalpy changes for the individual steps. Basically, the enthalpy change for the entire chemical change is the same no matter how you go from a reactant to a product. The book describes finding the enthalpy change for the combustion of graphite to carbon monoxide...
How does a free enterprise system (characterized by private property, rule of law, free prices and...
How does a free enterprise system (characterized by private property, rule of law, free prices and competition) affect the moral and economic development of individuals in society?
Let V = 20x2yz - 10z2 V in free space, (a) Determine the equations of the...
Let V = 20x2yz - 10z2 V in free space, (a) Determine the equations of the equipotential surfaces on which V = 0 and 60 V. (b) Assume these are conducting surfaces and find the surface charge density at that point on the V = 60-V surface where x=2 and z= 1. It is known that 0 V 60 V is the field-containing region, (c) Give the unit vector at this point that is normal to the conducting surface and...
Write and explain the integral form of Maxwell’s Equations as applied to free space, that is,...
Write and explain the integral form of Maxwell’s Equations as applied to free space, that is, in the absence of any dielectric or magnetic material.
The magnetic flux density in a region of free space is given by B = −x2...
The magnetic flux density in a region of free space is given by B = −x2 ax + 2y3 ay − 2z az T. Find the total force on the rectangular loop shown which lies in the plane y = 0 and is bounded by x = 1, x = 3, Z= 2, and Z= 5, all dimensions in cm. The current is 30 ampere in anticlockwise direction.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT