10. How much current is required to produce a force of 0.96 N on a 75 cm long wire oriented at right angles to a 0.24 T magnetic field?
A. 0.050 A
B. 0.17 A
C. 5.3 A
D. 0.19 A
5.3 A (<--- (0.96)/((75.0e-2)*(0.24)) )
correct
To calculate the current required to produce a force of 0.96 N on a 75 cm long wire oriented at right angles to a 0.24 T magnetic field, you can use the formula:
Force (F) = current (I) * length of the wire (L) * magnetic field (B)
Rearranging the formula to solve for current (I), we get:
I = F / (L * B)
Plugging in the given values:
I = 0.96 N / (75 cm * 0.24 T)
Converting the length of the wire to meters:
I = 0.96 N / (0.75 m * 0.24 T)
Simplifying the calculation:
I = 0.96 N / (0.18 T)
I ≈ 5.33 A
Therefore, the current required to produce a force of 0.96 N on a 75 cm long wire oriented at right angles to a 0.24 T magnetic field is approximately 5.33 A.
So the correct answer is C. 5.3 A.
To determine the amount of current required to produce a force on a wire in a magnetic field, you can use the equation:
F = I * L * B
Where:
F is the force in Newtons
I is the current in Amperes
L is the length of the wire in meters
B is the magnetic field strength in Tesla
In this case, we are given:
F = 0.96 N
L = 75 cm = 75 * 0.01 m = 0.75 m
B = 0.24 T
Using the formula, we can rearrange it to solve for I:
I = F / (L * B)
Now, let's substitute the values:
I = 0.96 N / (0.75 m * 0.24 T)
I = 5.3 A
Therefore, the amount of current required to produce a force of 0.96 N on a 75 cm long wire oriented at right angles to a 0.24 T magnetic field is 5.3 Amperes.
So the correct answer is C. 5.3 A.