IV. Matter. 1 problem of moderate difficulty. 8. A frame with a surface area of 1 cm² has a resistance of 1 m and is located in a uniform magnetic field directed perpendicular to the plane of the frame. The magnetic induction is changing at a rate of 0.2 T/s. How much heat is released in the frame in 5 s? (4 points) Given: Solution:
Ответы
Ответ:
To find the amount of heat released in the frame, you can use the formula for calculating the heat generated due to the change in magnetic flux:
Q = B * A * ΔB * t * μ
Where:
Q = Heat generated (in joules)
B = Magnetic induction (in teslas)
A = Area of the frame (in square meters)
ΔB = Change in magnetic induction (in teslas per second)
t = Time (in seconds)
μ = Magnetic permeability of the material (constant)
Given the values:
A = 1 cm² = 0.0001 m² (since 1 cm² = 0.0001 m²)
B = 1 m (given)
ΔB = 0.2 T/s (given)
t = 5 s (given)
Now, plug in the values into the formula:
Q = 1 m * 0.0001 m² * 0.2 T/s * 5 s * μ
You can simplify this further:
Q = 0.0001 * 0.2 * 5 * 1 * μ
Q = 0.001 * μ
Since the problem doesn't provide the specific value for μ (magnetic permeability), you'll need to use that value to calculate the final answer.
So, the heat released in the frame is 0.001 * μ joules.