[Problem 2] As shown in Fig. 2(a), uniform magnetic flux density B is applied with a...

 

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[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 p₁ 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 S₁ and S₂ between the two half rings. viienshagerlo così (3) When the ring has a separation with a small gap 8 (8<< a) at the boundary S₁, as shown in Fig. 2(b), give free electric charges on the separated boundaries Sia and Sıb induced by applying the same magnetic flux density B. S₁ E, PI R S₂ 2a (Daribet) E, P2 Fig. 2 (b) Sla Sib B 2a (1) [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 p₁ 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 S₁ and S₂ between the two half rings. viienshagerlo così (3) When the ring has a separation with a small gap 8 (8<< a) at the boundary S₁, as shown in Fig. 2(b), give free electric charges on the separated boundaries Sia and Sıb induced by applying the same magnetic flux density B. S₁ E, PI R S₂ 2a (Daribet) E, P2 Fig. 2 (b) Sla Sib B 2a (1)

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