What is the value of B at the instant E reaches its maximum value?

[samee]

Homework Statement

The magnetic field inside a 4.0-cm-diameter superconducting solenoid varies sinusoidally between 8.0 T and 12.0 T at a frequency of 10 Hz.
Pt. 1--> What is the maximum electric field strength at a point 1.5 cm from the solenoid
axis?
Ans.- -> 0.942 V/m
Pt. 2--> What is the value of B at the instant E reaches its maximum value?

Homework Equations

E=cB

The Attempt at a Solution

.942/c=3.14*10^-9

Which is the wrong answer. I can't find any other relationships between E and B! Help please!

 

[vector3]

The link below has a number of relationships like

$$\nabla \times E =- \frac{\partial B}{\partial t}$$

http://en.wikipedia.org/wiki/Maxwell%27s_equations"

 

[ogb p]

The value of B at the instant E reaches its maximum value can be found by using the equation E = cB and rearranging it to solve for B. This gives us B = E/c.

Since we know the maximum electric field strength is 0.942 V/m, we can plug this value into the equation to find the corresponding value of B. This gives us B = 0.942/c = 0.942/(3*10^8) = 3.14*10^-9 T.

Therefore, the value of B at the instant E reaches its maximum value is 3.14*10^-9 T.

It is important to note that the value of B will also vary sinusoidally between 8.0 T and 12.0 T at a frequency of 10 Hz, just like the electric field. So, at the instant when the electric field reaches its maximum value, the magnetic field will also have reached its maximum value.

I hope this helps clarify the relationship between E and B in this scenario.