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4.49 An infinitely long cylinder of radius a is surrounded by a dielectric medium that contains no free charges. If the tangential component of the electric field in the region

r>a is \text { given by } \mathbf{E}_{t}=-\hat{\phi} \cos \phi / r^{2}, \text { find } \mathbf{E} \text { in that region. }

Fig: 1

Fig: 2