Electric field strenght of a loop given maximum flux

In summary, a circular loop with a diameter of 29 cm is rotated in a uniform electric field until the position of maximum electric flux is reached, with a measured flux of 7.2e5 Nm^2/C. To find the electric field strength, the formula flux = EA is used and the area of the loop is calculated using the formula for the area of a circle. The calculated electric field strength is 34244946.4923 N/C, but it is not the correct answer. The area of a circle and a circular loop are the same.
  • #1
fenixbtc
13
0

Homework Statement


a 29 cm diameter circular loop is rotated in a uniform electric field until the position of maximum electric flux is found. the flux is measured to be 7.2e5 Nm^2/C
what is the electric field strength in units N/C?


Homework Equations


flux = EA


The Attempt at a Solution


7.2e5 Nm^2/C = E * (.29m/2)^2
E = 34244946.4923

apparently it's not the right answer though...

thanks!
David
 
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  • #2
What is the area of the circle?
 
  • #3
the area of a circle is pi*r^2...but this is a loop...or are they the same thing?
 
  • #4
fenixbtc said:
the area of a circle is pi*r^2...but this is a loop...or are they the same thing?
Circular loop and circle is the same.
 
  • #5
awesome! thank you.
 

1. What is the formula for calculating the electric field strength of a loop given maximum flux?

The formula for calculating the electric field strength of a loop given maximum flux is E = Φmax / (A * N), where E is the electric field strength, Φmax is the maximum flux, A is the area of the loop, and N is the number of turns in the loop.

2. How does the area of the loop affect the electric field strength?

The area of the loop directly affects the electric field strength. A larger area results in a stronger electric field, while a smaller area results in a weaker electric field. This is because a larger area allows for more flux to pass through the loop, increasing the electric field strength.

3. How does the number of turns in the loop impact the electric field strength?

The number of turns in the loop also has a direct impact on the electric field strength. Increasing the number of turns in the loop increases the magnetic flux passing through the loop, resulting in a stronger electric field. Conversely, decreasing the number of turns decreases the electric field strength.

4. Can the electric field strength of a loop be negative?

No, the electric field strength of a loop cannot be negative. Electric field strength is a vector quantity, meaning it has both magnitude and direction. In the case of a loop, the direction of the electric field is always perpendicular to the plane of the loop, so it cannot have a negative value.

5. How does the electric field strength of a loop change with distance from the loop?

The electric field strength of a loop follows an inverse square relationship with distance. This means that as the distance from the loop increases, the electric field strength decreases. This relationship is described by the formula E ∝ 1/r^2, where E is the electric field strength and r is the distance from the loop.

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