Consider a set of interacting current circuits in a linear magnetic medium. Al: circuits with the...

 

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Consider a set of interacting current circuits in a linear magnetic medium. Al: circuits with the exception of circuit 1 are held stationary, but circuit 1 is allowed to move rigidly. The curents are all held constant by means of batteries. Show from the combination of Eqs. (12-4), (12-6), and (12-18) that the mechanical work done by the moving circuit is dW = I, dP,, where dP, is the change in flux through circuit 1. %3D to Eq. (12-3), the electrical work done against the induced emf's is given (12-4) %3D izl This expression is perfectly general; it is valid independently of how the fiux Thus, the magnetic energy of n coupled circuits is U = -L0 (rigid circuits, linear media) (12-6) : as in Eq. (6-32). The work contains two contributions in these ir cumstances, as in Eq. (6-37): dW = dW, - dU (12-18) %3D Consider a set of interacting current circuits in a linear magnetic medium. Al: circuits with the exception of circuit 1 are held stationary, but circuit 1 is allowed to move rigidly. The curents are all held constant by means of batteries. Show from the combination of Eqs. (12-4), (12-6), and (12-18) that the mechanical work done by the moving circuit is dW = I, dP,, where dP, is the change in flux through circuit 1. %3D to Eq. (12-3), the electrical work done against the induced emf's is given (12-4) %3D izl This expression is perfectly general; it is valid independently of how the fiux Thus, the magnetic energy of n coupled circuits is U = -L0 (rigid circuits, linear media) (12-6) : as in Eq. (6-32). The work contains two contributions in these ir cumstances, as in Eq. (6-37): dW = dW, - dU (12-18) %3D