Calculate the magnetic field strength and direction of force on a current-carrying wire in a magnetic field.

Question

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Here are the answers to the physics questions:

Question 2:

a) Determine the size of the magnetic field, $B$ .

Identify the given values.
Current, $I = 5.0 \text{ A}$
Length of wire in magnetic field, $L = 0.75 \text{ m}$
Magnetic force, $F = 0.25 \text{ N}$
The current is perpendicular to the magnetic field, so $\theta = 90^\circ$ .
Use the formula for magnetic force and solve for $B$ .
The magnetic force on a current-carrying wire is given by:
$F = BIL \sin\theta$
Rearrange to solve for $B$ :
$B = \frac{F}{IL \sin\theta}$

B = \frac{0.25 \text{ N}}{(5.0 \text{ A})(0.75 \text{ m})\sin(90^\circ)}

B = \frac{0.25 \text{ N}}{3.75 \text{ A} \cdot \text{m}}

B = 0.0666... \text{ T}

B = \boxed{0.067 \text{ T}}

b) Determine in which direction the magnetic force acts on the wire.

Using Fleming's Left-Hand Rule:

Question 4:
What is the direction of the force on the wires?

Diagram I:
- Current is into the page (X).
- Magnetic field is from North (left) to South (right).
- Using Fleming's Left-Hand Rule, the force is downwards.
Diagram II:
- Current is out of the page (dot).
- Magnetic field is into the page (X's).
- Since the current is anti-parallel to the magnetic field, the magnetic force is zero.

Question 5:
Use the Right Hand Slap Rule to determine the direction of the magnetic force on the wires.

a. Current is into the page (X). Magnetic field is from N (left) to S (right).
- Force is downwards.
b. Current is to the right. Magnetic field is into the page (X's).
- Force is downwards.
c. Current is to the right. Magnetic field is out of the page (dots).
- Force is upwards.
d. For the top horizontal segment, current is right and magnetic field is downwards (N to S).
- Force is into the page. For the bottom horizontal segment, current is left and magnetic field is downwards.
- Force is out of the page.

Question 6:

a) In an experiment shown below, a current is induced in the coil when the magnet is moved in and out of it.

i) What is the effect called?
The effect is called electromagnetic induction.

ii) Complete the table below to show what happens to the needle of the meter, when the magnet is moved in and out of the coil.

Magnet pushed into right	Example: Needle moves to the right
1) Magnet inside coil but not moving	No deflection
2) Magnet pulled out to the left	Needle moves to the left
3) Magnet pushed in again but faster to the right	Needle moves to the right, with greater deflection

Step-by-step solution