By evaluating the integral and simplifying, we obtain the following Q = R for the limits from 0 to R Thus, B can then be expressed as B=Q/ Now we are ready to solve for the charged enclosed by the Gaussian surface. We apply the same definition of volume charge density, to obtain the integral 3B denc = the difference is now, the limits of r will be from 0 to r. Evaluating the integral and simplifying, we obtain denc = By substitution to Equation 1 above, then using A = and simplifying, we obtain E = (1/ (Qr /R
By evaluating the integral and simplifying, we obtain the following Q = R for the limits from 0 to R Thus, B can then be expressed as B=Q/ Now we are ready to solve for the charged enclosed by the Gaussian surface. We apply the same definition of volume charge density, to obtain the integral 3B denc = the difference is now, the limits of r will be from 0 to r. Evaluating the integral and simplifying, we obtain denc = By substitution to Equation 1 above, then using A = and simplifying, we obtain E = (1/ (Qr /R
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