In a coil of resistance 50Ω , the induced current developed by...

In a coil of resistance $50Ω$ , the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil is

In a coil of resistance 50Ω , the induced current developed by changing magnetic flux through it, is shown in figure as

Options

A $10Wb$
B $20Wb$
C $32Wb$
D $40Wb$

Correct answer

D. $40Wb$

Step-by-step solution

According to the given graph $\left(I - t\right)$ ~induced current $( I )$ ~is obtained from the slope. Hence, $I = \dfrac{1}{R}\dfrac{dϕ}{dt}$

$⇒ dϕ = Idt \times R =$ area of triangle $POS \times R = \dfrac{8 \times 0 . 2}{2} \times 50 = 40Wb$

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

Inside a solenoid of radius 0.5 m , magnetic field is changing at a rate of 50 × 10^ -6 T… BITSAT 2024 There are two long co-axial solenoids of same length l . The inner and outer coils have… BITSAT 2024 A rectangular loop of length 2.5 m and width 2 m is placed at 60^ ^ ∘ to a magnetic field… BITSAT 2024 A 12 V battery connected to a coil of resistance 6 Ω through a switch, drives a constant… BITSAT 2023 In an LC oscillator, if values of inductance and capacitance become twice and eight… BITSAT 2023 A conducting loop of radius 10 π cm is placed perpendicular to a uniform magnetic field… BITSAT 2023 A metal disc of radius 100 cm is rotated at a constant angular speed of 60 rad / s in a… BITSAT 2021 A conducting square loop of side L and resistance R moves in its plane with a uniform… BITSAT 2020 Full Electromagnetic Induction list All BITSAT PYQs