Question
Suppose you have an infinitely long cylindrical current carrying wire with radius a=19cm. The current density of the wire is J=cr2/a2 where c=7A/m2 is a constant.
a)Find the enclosed current at radial distance r=(0.4a)cm.
b)Find the magnitude of magnetic field at radial distance r=(0.4a)cm.
c)Find the magnitude of magnetic field at radial distance d=63cm.
Now, consider a finite wire of length L=6cm which has the same current density as the infinite wire. This finite wire is made into a circular loop.
d)Find the magnitude of magnetic field at the center of the loop.

Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 4 steps

Knowledge Booster
Similar questions
- An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m. The current density J = 9.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 1. For r = 0.5 a, calculate the numerical value of B in Tesla. 2. Express the magnitude of the magnetic field, B, at r > a in terms of I and r. 3. Express B in terms of J, a and r. 4. For r = 2 a, calculate the numerical value of B in Tesla.arrow_forwardAt what distance (in mm) from a long, straight wire carrying a current of 20 A will the magnitude of the magnetic field be 1.9 mT?arrow_forwardA long, straight, hollow wire with inner radius 3.0 mm and outer radius 8.ó mm has 2.4 A of current passing through, uniformly distributed throughout its cross-sectional area. Determine the magnitude of the magnetic field by the wire a radial distance of 6.3 mm from its axis. Give your answer in units of µT.arrow_forward
- What is the magnitude of the magnetic field (in nT) at a distance of 4 m from a long straight wire which carries a current of 14 A? (in units of nT or nanoteslas)arrow_forwardTwo long straight current carrying wire both have currents of 235 A directed to the right. The wires are laid parallel to one another and are separated by a distance of 0.028 m. What is the net magnetic field at a distance of 0.02 m above the top wire? Enter a number rounded to 4 decimal placesarrow_forwardA steady-current flows down a long cylindrical wire of radius R. Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that J is proportional to r², where r is the distance from the axis.arrow_forward
- The magnitude of the magnetic field a distance of l away from a long, straight current carryingwire is B. How far from the wire is the magnitude of the magnetic equal to 1/2B?arrow_forwarda) A wire of length L carrying a current of magnitude I is shown on the figure. Find the magnetic field vector at point P. Hint: You may find the following integrals useful: 1 1 -dx a Jx² +a? (x* +a*)* 1 -dx =- (x² +a*)* direction of current 2 X a P L 2arrow_forwardA cylindrical conductor of radius 10-2 m has a magnetic field H = (4.77x104)(ρ/2 - ρ2/(3x10-2 )) in its surface. What is the total current of the conductor? QUICKLYarrow_forward
- magnetic fields Problem 19: Consider the two wires in the figure, running at a right angle to each other. The wires carry the same current I = 6.5 mA, in the directions shown. The distances shown are d1 = 31 cm and d2 = 11.5 cm. Part (a) What is the magnitude of the magnetic field, in tesla, at point A? Part (b) What is the magnitude of the magnetic field, in tesla, at point B? Part (c) What is the magnitude of the magnetic field, in tesla, at point C?arrow_forwardA 17-A current is uniformly distributed in a wire with a diameter of 9.17 mm. Find the magnetic field magnitude (in μT) a distance of 3.02 mm from the wire's center.arrow_forward
arrow_back_ios
arrow_forward_ios