About changes in a magnetic field

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bhaskarporey
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Homework Statement
A uniform magnetic field points into the page.In the same region an electric field point straight up, but increases with position at the rate of 10 V/m as you move to the right. Apply Faraday’s Law to a rectangular loop find charge in magnetic field.
Relevant Equations
dE/dx = 10 V/m.
Here i tried this way (see picture)
Please tell me am i right or wrong.
Handwritten derivation of Faraday's law in component form: curl E equals minus partial B by partial t, expanded into i, j, k terms, then with E along +z and varying along +x, concluding partial B by partial t equals 10 T/s.


Also they says find the change in magnetic field with time using Faraday's law in a rectangular loop.
How can i solve that??
 
Do you know how to apply Faraday's law to a rectangular loop? This hyperphysics page shows some examples. Usually, you are given the rate of change of the B field and asked to calculate the EMF around the loop, but this problem turns it around and gives you the E-field and asks you to calculate the rate of change of B. But the principle is the same. Try drawing a rectangular loop and calculating the line integral of E around the loop and the flux of B through the loop.