The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ = 5…

The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ=5t3+4t2+2t-5 Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t=2 s will be,
  1. 15.6 A
  2. 16.6 A
  3. 17.6 A
  4. 18.6 A

Solution

Given, ϕ=5t3+4t2+2t-5

Magnitude of induced emf ε=dϕdt=15t2+8t+2

At, t=2 s, ε=60+16+2=78 V

Current, i=εR=785=15.6 A

Asked in: JEE Main 2022 (26 Jun Shift 1)

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