[Problem 2] As shown in Fig. 2(a), uniform magnetic flux density B is applied with a constant time derivative dB/dt to a thin resistive ring with an average radius R much larger than a radius a of the circular cross-section in a vacuum (permittivity &0). The ring is composed of two half rings with different resistivities of p and 2 and a common permittivity E. Answer the following questions, provided magnetic field by induced current of the ring can be negligible. (1) Give the induced current density J in the ring. The clockwise direction is positive.d consolib Infotog (2) Give free electric charges on the boundaries S and S between the two half rings. viienshagerlo cos (3) When the ring has a separation with a small gap 8 (8 < < a) at the boundary S, as shown in Fig. 2(b), give free electric charges on the separated boundaries Sia and Sb induced by applying the same magnetic flux density B. S E, PI R S 2a (Daribet) E, P2 Fig. 2 (b) Sla Sib B 2a (1)