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The magnetic flux through a circuit of resistance R changes by an amount ∆φ in a time ∆t. Then, the total quantity of electric charge Q that passes at any point in the circuit during the time ∆t is represented by
(a) \(\frac{\triangle \varphi}{R}\)
(b) \(\frac{1}{R}\frac{\triangle \varphi}{\triangle t}\)
(c) \(R\frac{\triangle \varphi}{\triangle t}\)
(d) \(\frac{\triangle \varphi}{\triangle t}\)
The magnetic flux through a circuit of resistance R changes by an amount ∆φ in a time ∆t. Then, the total quantity of electric charge Q that passes at any point in the circuit during the time ∆t is represented by
(a) \(\frac{\triangle \varphi}{R}\)
(b) \(\frac{1}{R}\frac{\triangle \varphi}{\triangle t}\)
(c) \(R\frac{\triangle \varphi}{\triangle t}\)
(d) \(\frac{\triangle \varphi}{\triangle t}\)
Correct option is : (a) \(\frac{\triangle \varphi}{R}\)
Induced emf is given by
Eind = \(\frac{\triangle \varphi}{\triangle t}\)
Current, i = \(\frac{Q}{\triangle t}\)
\(=\frac{\triangle \varphi}{\triangle t}\times \frac{1}{R}\)
\(\Rightarrow Q=\frac{\triangle \varphi}{R}\)