What are the Faraday\'s laws of electromagnetic induction? The magnetic flux linked with a coil of resistance \(2\ \Omega\) is \[ \phi = (5t^{3} - 100t + 300)\ \text{Weber} \] Find out: (i) induced e.m.f. produced in the coil at \(t = 2\) seconds (ii) induced current in the coil.
OR
Explain the conditions required for the resonance in series LCR alternating circuit by the diagram. On which factors does the resonant frequency depend?