96.The flux of magnetic field through a closed conducting loop of resistance 0.4 changes with time according to the equation = 0.20t2 + 0.40t + 0.60 where t is time in seconds. Find (i) the induced emf at t = 2s. (ii) the average induced emf in t = 0 to t = 5 s. (iii) charge passed through the loop in t = 0 to t = 5s (iv) average current in time interval t = 0 to t = 5 s (v) heat produced in t = 0 to t = 5s.

Open in App

Solution

Suggest Corrections

Similar questions

Q. The flux of magnetic field through a closed conducting loop of resistance 0.4

℧

changes with time according to the equation

ϕ

= 0.20

t^{2}

+ 0.40t + 0.60 where t is time in seconds. Find (i) the induced emf at t = 2s. (ii) the average induced emf in t = 0 to t = 5 s. (iii) change passed through the loop in t = 0 to t = 5s. (iv) average current in time interval t = 0 to t = 5s (v) heat produced in t = 0 to t = 5s.

Q. The flux of magnetic field through a closed conducting loop changes with time according to the equation, Φ = at² + bt + c. (a) Write the SI units of a, b and c. (b) If the magnitudes of a, b and c are 0.20, 0.40 and 0.60 respectively, find the induced emf at t = 2 s.

A particle starts moving rectilinearly at time t = 0 such that its velocity ‘v’ changes with time ‘t’ according to the equation $v = t^{2} - t$ where t is in seconds and v in m/s. Find the time interval for which the particle retards.

Q. Magnetic flux

(ϕ)

linked through the coil changes with respect to time

(t)

according to following graph, then induced emf

(e)

v/s time

(t)

graph for coil is:

Q. A conducting loop of area 5.0 cm² is placed in a magnetic field which varies sinusoidally with time as B = B₀ sin ωt where B₀ = 0.20 T and ω = 300 s⁻¹. The normal to the coil makes an angle of 60° with the field. Find (a) the maximum emf induced in the coil, (b) the emf induced at τ = (π/900)s and (c) the emf induced at t = (π/600) s.

Join BYJU'S Learning Program