Using Ampere's Law, the magnetic field produced inside this solenoid is given by
B = uo N I / h
where uo is the vacuum permeability, N is the number of turns in the solenoid and h is the length of the solenoid. Earth's magnetic field is around 50 microteslas in North America thus the current needed in the solenoid is
I = B h / (uo N) = (50 E-6 ) (4) / ((4 pi E-7)(6000) ) = 0.026 A
I = 26 mA
So you need a current of around 26 mA.
Answer:
6.20×10⁴ V/m
Explanation:
The magnitude of electric field is:
E = √(Eₓ² + Eᵧ²)
where Eₓ = ∂φ/∂x and Eᵧ = ∂φ/∂y.
φ = 1.11 (x² + y²)^-½ − 429x
Eₓ = -0.555 (x² + y²)^-(³/₂) (2x) − 429
Eᵧ = -0.555 (x² + y²)^-(³/₂) (2y)
Evaluating at (0.003, 0.003):
Eₓ = -44034 V/m
Eᵧ = -43605 V/m
The magnitude is:
E = 61971 V/m
Rounded to three significant figures, the strength of the electric field is 6.20×10⁴ V/m.
The resultant of the vectors is
.
<h3>What is a resultant vector?</h3>
A resultant vector is the vector sum of two or more vectors.
The given vectors;
- Height of vector A = HA
- Height of vector B = HB
- Height of vector C = HC
The height of vector B is the resultant of the three given vectors.
When the vectors are drawn from head to tail, the vector B forms the resultant of the two other vectors (A and C).
Thus, the resultant of the vectors is
.
Learn more about resultant vectors here: brainly.com/question/110151
Answer:
A circuit with two 10 ohm resistors connected in series.
Explanation:
The formula for the equivalent resistance for resistors in parallel is
So if R1=R2= 10 ![\frac{1}{Rt} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} Rt =\frac{10}{2} =5 ohm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BRt%7D%20%3D%20%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%7B2%7D%7B10%7D%20%20%3C%3D%3E%20Rt%20%3D%5Cfrac%7B10%7D%7B2%7D%20%3D5%20ohm)
The formula for the equivalent resistance for resistors in series is
Rt = R1 + R2 So Rt= 10 + 10 = 20