2. Find the rate of change of a magnetic field B with respect to time in a region of space in which the consequent induced electric field is given by \overrightarrow{\mathbf{E}}=E_{0}\left[z^{4 \hat{\mathbf{i}}}+x^{4} \hat{\mathbf{j}}+y^{4} \hat{\mathbf{k}}\right] where Eo is a constant.

Fig: 1

Fig: 2

Fig: 3