i) A conducting wire of infinite length in free space carries a current I. Apply Ampère's Law to determine a formula for the magnetic field as a function of radial distance r from the wire.
i) A conducting wire of infinite length in free space carries a current I. Apply Ampère's...
В — VхА. (5.61) 10 points. A thick wire with a uniform current. Consider an infinite straight wire of radius R carrying current I uniformly distributed over its cross-section. (a) Find the magnetic field B(s) as a function of the distance s from the wire axis z, both inside s < R and outside s > R the wire. Indicate the direction of B and sketch its field lines (try to space the field lines appropriately) Hint: Use Ampère's law...
To apply Ampère's law to find the magnetic field inside an infinite solenoid.In this problem we will apply Ampère's law, written∮B⃗ (r⃗ )⋅dl⃗ =μ0Iencl,to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each carrying current I. It is usual to assume that the component of...
A 10.0 meter length of straight conducting wire carries a current of 15.0 A. a) Find the resulting magnetic field at a distance of 10.0 cm from the wire. b) If this wire is now wrapped to form a circular coil with a 10.0 cm radius, find the value of the resulting magnetic field at the center of the coil. (Note that you will need to compute the number of loops N that can be made from a 10.0m length...
3. A 10.0 meter length of straight conducting wire carries a current of 15.0 A. a) Find the resulting magnetic field at a distance of 10.0 cm from the wire. b) If this wire is now wrapped to form a circular coil with a 10.0 cm radius, find the value of the resulting magnetic field at the center of the coil. (Note that you will need to compute the number of loops N that can be made from a 10.0m...
Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each...
There is a circular ring of wire. It has a radius α that carries a current/in a counter clockwise direction. Part A) Reduce equation 10 to find the magnetic field at the center of the loop. Derive this answer from Ampère's Law. Mol R2 10 Part B) Now let's assume it is an insulated circular disk with a uniform charge density σ is spinning at rate o. Utilize Ampère's Law to determine the magnetic field at the center. There is...
Question An infinite length wire moving along its axis with the velocity v carries a uniformly distributed linear 2 load density a) Determine the current flowing along the wire and the magnetic field produced by it. b) Calculate the electric field produced by the wire. Show that the ratio of the electric field to the magnetic field is independent of the wire distance and the value of .
There is a circular ring of wire. It has a radius α that carries a current in a counter clockwise direction L.P Part A) Reduce equation 10 to find the magnetic field at the center of the loop. Derive this answer from Ampère's Law Ho R2 401 (cos θ 10 B(z) Part B) Now let's assume it is an insulated circular disk with a uniform charge density σ is spinning at rate ω. Utilize Ampère's Law to determine the magnetic...
A long wire carries a current in the direction shown above. The current I varies linearly with time t as follows: I=ct, where c is a positive constant. The long wire is in the same plane as a square loop of wire of side b, as shown in the diagram. The side of the loop nearest the long wire is parallel to it and a distance a from it. The loop has a resistance R and is fixed in space. a. Determine...
Cross-sectional View (current into page) A section of a long conducting cylinder with inner radius a and outer radius b carries a current lo that has a uniform current density, as shown in the figure above. (a) Using Ampère's law, derive an expression for the magnitude of the magnetic field in the following regions as a function of the distance r from the central axis. t. r<a ii. a<r<b (b) On the cross-sectional view in the diagram above, indicate the...