$A$ conducting circular loop of resistance $20 \Omega$ and cross-sectional area $20 \times 10^{-2} \,m^{2}$ is placed perpendicular to a spatially uniform magnetic field $B$, which varies with time $t$ as $B = 2 \sin(50 \pi t) \,T$. Find the net charge flowing through the loop in $20 \,ms$ starting from $t = 0$. (in $\,C$)
- A$0.5$
- B$0.2$
- C$0$
- D$0.14$
Explore More
Similar Questions
The figure shows a planar conductor located in a magnetic field directed inward,normal to the plane of the figure. The magnetic field starts diminishing. Then the induced current:
Medium
View SolutionColumn $I$ gives certain situations in which a straight metallic wire of resistance $R$ is used and Column $II$ gives some resulting effects. Match the statements in Column $I$ with the statements in Column $II$.
Column $I$ Column $II$ $(A)$ $A$ charged capacitor is connected to the ends of the wire $(p)$ $A$ constant current flows through the wire $(B)$ The wire is moved perpendicular to its length with a constant velocity in a uniform magnetic field perpendicular to the plane of motion $(q)$ Thermal energy is generated in the wire $(C)$ The wire is placed in a constant electric field that has a direction along the length of the wire $(r)$ $A$ constant potential difference develops between the ends of the wire $(D)$ $A$ battery of constant emf is connected to the ends of the wire $(s)$ Charges of constant magnitude appear at the ends of the wire
| Column $I$ | Column $II$ |
| $(A)$ $A$ charged capacitor is connected to the ends of the wire | $(p)$ $A$ constant current flows through the wire |
| $(B)$ The wire is moved perpendicular to its length with a constant velocity in a uniform magnetic field perpendicular to the plane of motion | $(q)$ Thermal energy is generated in the wire |
| $(C)$ The wire is placed in a constant electric field that has a direction along the length of the wire | $(r)$ $A$ constant potential difference develops between the ends of the wire |
| $(D)$ $A$ battery of constant emf is connected to the ends of the wire | $(s)$ Charges of constant magnitude appear at the ends of the wire |
The plane of a circular coil of resistance $7.5 \ \Omega$ is placed perpendicular to a uniform magnetic field. The flux $\phi$ (in weber) through the coil varies with time $t$ (in second) as $\phi = 2t^2 + 3t - 2$. The induced power in the coil at time $t = 3 \ s$ is (in $W$)
If an iron rod is placed inside a coil, what happens to the induced current?
Medium
View SolutionTwo long parallel wires whose centres are at a distance $d$ apart carry equal currents in opposite directions. If the flux within the wires is neglected,the inductance of such an arrangement of wire of length $l$ and radius $a$ will be
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo