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

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The magnetic field inside a superconducting solenoid varies between 8.0 T and 12.0 T at a frequency of 10 Hz. The maximum electric field strength at a point 1.5 cm from the solenoid axis is calculated to be 0.942 V/m. The discussion seeks to determine the value of B when E reaches its maximum, but the initial attempt at a solution was incorrect. The relationship E = cB is referenced, along with a suggestion to explore Maxwell's equations for further connections between E and B. The thread highlights the challenge of finding the correct relationship to solve for B at the specified conditions.
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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!
 
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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"
 
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