Question

In: Physics

DATA: Current in Solenoid l (Ampere(A)) Magnetic Field B (mT) 0.5 0.06050 1.0 0.1500 1.5 0.2048...

DATA:

Current in Solenoid l (Ampere(A))	Magnetic Field B (mT)
0.5	0.06050
1.0	0.1500
1.5	0.2048
2.0	0.2690

Length of Solenoid (m)	1
Number of turns	90
Turns/length (per meter)

Part II

Length of Solenoid (m)	Turns/meter (per meter)	Magnetic Field B (mT)
0.5		0.2919
1.0		0.1873
1.5		0.1160
2.0		0.088

Number of turns in Slinky

90

ANALYSIS QUESTIONS

1. Plot a graph of magnetic field B vs. the current I through the solenoid. You may launch a fresh copy of LoggerPro, or use the file "magnetic field graph' in the Lab 08 folder.

2. Determine the equation of the best-fit line, including they-intercept. Note the constants and their units.

3. For each of the measurements of Part II, calculate the number of turns per meter. Enter these values in the data table.

4. Plot a graph of magnetic field B vs. the turns per meter of the solenoid (n). Use either Graphical Analysis or graph paper.

5. How is magnetic field related to the turns/meter of the solenoid?

6. Determine the equation of the best-fit line to your graph. Note the constants and their units

7. From Ampere's law, it can be shown that the magnetic field B inside a long solenoid is B = µ0nl where I-to is the permeability constant. Do your results agree with this equation? Explain.

8. The permeability constant for a vacuum, I-to, has a value of 4rcx10-7 Tm/A. Assuming the equation in step 8 applies to the Slinky, obtain a value of re from your graphs, and compare with the 'theoretical' value.

9. Was your Slinky positioned along an east-west, north-south, or on some other axis? Will this have any effect on your readings?

Expert Solution

DATA:

Current in Solenoid l (Ampere(A))	Magnetic Field B (mT)
0.5	0.06050
1.0	0.1500
1.5	0.2048
2.0	0.2690

Length of Solenoid (m)	1
Number of turns	90
Turns/length (per meter)	90

Part II

Length of Solenoid (m)	Turns/meter (per meter)	Magnetic Field B (mT)
0.5	180	0.2919
1.0	90	0.1873
1.5	60	0.1160
2.0	45	0.088

Number of turns in Slinky

90

ANALYSIS QUESTIONS

1. Plot a graph of magnetic field B vs. the current I through the solenoid. You may launch a fresh copy of Logger Pro, or use the file "magnetic field graph' in the Lab 08 folder.

2. Determine the equation of the best-fit line, including they-intercept. Note the constants and their units.

y = 0.1361x + 0.01

where 0.1361 is the increase in field per 1 ampere increase in current

3. For each of the measurements of Part II, calculate the number of turns per meter. Enter these values in the data table.

calculated....see the table above

4. Plot a graph of magnetic field B vs. the turns per meter of the solenoid (n). Use either Graphical Analysis or graph paper.

5. How is magnetic field related to the turns/meter of the solenoid?

The magnetic field is directly proportional to the turns of the slinky

6. Determine the equation of the best-fit line to your graph. Note the constants and their units

y = 0.001483x + 0.03175

7. From Ampere's law, it can be shown that the magnetic field B inside a long solenoid is B = µ0nl where I-to is the permeability constant. Do your results agree with this equation? Explain.

The equation suggests that B is proportional to I. The graph in part I is consistent with this prediction. The equation also suggests that B is proportional to n. The graph in part II is consistent with this prediction

8. The permeability constant for a vacuum, I-to, has a value of 4rcx10-7 Tm/A. Assuming the equation in step 8 applies to the Slinky, obtain a value of re from your graphs, and compare with the 'theoretical' value.

what is 're ' ?????

9. Was your Slinky positioned along an east-west, north-south, or on some other axis? Will this have any effect on your readings?

Along the north axis, no it does not affect readings as we most probably set it to zero

genius_generous answered 3 months ago

Magnetic field in a solenoid is what

In this simulation, you can examine the magnetic field created by the current in a solenoid,...

In this simulation, you can examine the magnetic field created by the current in a solenoid, which is a cylindrical coil of wire. Instead of using a spiral-shaped coil, the simulation approximates the coil with a stack of seven single loops. The plane of each loop is parallel to the x-z plane, with a radius of either 60 cm or 25 cm, and the displayed field is in the x-y plane. The parallel-plate capacitor is the standard way to create...

(i) Find the magnitude of magnetic field inside a long, ideal solenoid of length L, with...

(i) Find the magnitude of magnetic field inside a long, ideal solenoid of length L, with N turns and carrying current i. Demonstrate your knowledge of Ampere’s Law by constructing any relevant Amperian loop and integrating along its length. (ii) Two long solenoids that are coaxial, each carry current i, but in opposite directions. The inner solenoid with radius a has n1 turns per unit length, while the outer solenoid with radius b has n2 turns per unit length. Now...

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field...

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field strength inside the solenoid is ?=?0??.

Magnetic Field inside a Very Long Solenoid

The solenoid has length L, diameter D, and n turns per unit length with each carrying current .It is usual to assume that thecomponent of the current along the z axisis negligible.(This may be assured by winding two layers of closely spaced wiresthat spiral in opposite directions.)From symmetry considerations it is possible to show that farfrom the ends of the solenoid, the magnetic field isaxial.Which figure shows the loop that the must beused as the Ampèrean loop for finding Bz(r) for...

The strength of the magnetic field within a solenoid is B = 3.9 x 10-2 T...

The strength of the magnetic field within a solenoid is B = 3.9 x 10-2 T (outside the solenoid B = 0). A smaller, single loop is placed in the solenoid parallel to the plane of each loop in the solenoid. The resistance of the solenoid is 5.4 Ω, the resistance of the loop is 0.29 Ω, the diameter of the solenoid is 0.07 m, and the diameter of the loop is 0.04 m. An emf of 12 V is...

To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's l...

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 solenoid has length L, diameter D, and n turns per unit length with each carrying current I. (Figure 1) It is usual to assume that the component of the current...

Derive the energy density for the magnetic field in a solenoid and use that result along...

Derive the energy density for the magnetic field in a solenoid and use that result along with the result for the electric energy density derived in class to find the time dependent Poynting vector.

1.) the magnitude of the magnetic field outside of a solenoid is: -almost zero -depends on...

1.) the magnitude of the magnetic field outside of a solenoid is: -almost zero -depends on the type of wire used -depends on the radius 2.) two wires emerge from a clock face at 90° from the face. One wire is at 3 o’clock and has a current of 2.5 A coming out of the clock face. The other is at 9 o’clock and has a current of 5.0A coming out of the clock face. What can we say about...

Carefully measure the magnetic field at the end of the solenoid. How does it compare to...

Carefully measure the magnetic field at the end of the solenoid. How does it compare to the value at the center of the solenoid? Try to prove what the value at the end should be.