A uniform magnetic field B is in a cylindrical region (radius 10cm). A 80cm uniform wire with resistance 4.0 ohms is bent into a square frame and placed on one side along a diameter of the cylindrical region.

Assuming Magnetic field increases at a constant rate 0.010T/s, what is the current induced in the frame?

Centripetal force can be expressed as the net force that acts on an object in order to maintain its movement in a circular motion. As per Newton’s first law of motion, until and unless an external force is applied to an object, it is till then going to continue to move along a straight path. This is the case of centripetal force. Centripetal force can be defined as the force which maintains an object unchanged while it is travelling in a circular way, although it is not a basic force.

  • Electromagnetic force (EMF) can be defined as the force that exists in the universe.
  • The electromagnetic force (EMF) can be expressed as the physical interaction occuring when electrically charged particles contact with each other.
  • Electromagnetic force (EMF) is usually a composite of every magnetic and electrical force acting between charged particles.
  • The electromagnetic force can both attract and repel.

Current

Thus, as per the question, the following can be deduced:

  • r = 10cm
  • R = 4Ω
  • dB/ dt = 0.010T

Hence,

dϕ/dt = dB/ dt A

E = dϕ/dt = dB/dt A

= 0.01(πr2/2) = 0.01×3.15×0.01/2 = 1.57×10−4

Therefore, i = E/R = 1.57×10-4/4 = 0.39×10−4 

3.9×10−4A


Related Questions

  1. A Closed Coil Has 500 Turns Across Rectangular Frame Of Area 4.0 Cm2 With Resistance Of 500 Ohms. The Coil Is Plane Perpendicular To A Uniform Magnetic Field Of 0.2wb/M2. Find Amount Of Charge Through Coil If Turned Over (180 Degrees Rotation).
  2. If R, C And L Are Fundamental Quantities In A Circuit Like Resistance, Capacitance And Inductance In W, Then Find Dimensional Formula For Resistance And Capacitance.
  3. In A Graph Between Current I And Voltage V, Find The Portion Corresponding To Negative Resistance.
  4. 1.0 M Rectangular Loop With A Sliding Connector Is In Uniform Magnetic Field 2t Perpendicular To Plane Of Loop. Resistance Is 2 Ohms. Two Resistances, 6 Ohms And 3 Ohms, Are Connected.
  5. Two Concentric Coplanar Circular Loops Of Wire (Resistance Per Unit Length 10 4 Ohms M-1) Have Diameters 0.2 M And 2 M. With Time-Varying Potential Difference Of (4+2.5t) Applied To Larger Loop, Find Current In Smaller One.
  6. Three Incandescent Bulbs (Each 100 W) Are Attached In Series. In Another Circuit, Three More Bulbs Of Same Wattage Are Attached Parallelly To An Equal Source.
  7. Two Identical Resistors With Resistances 15 Ohm Are Connected In Series And Parallel To A Battery Of 6 V. Calculate Ratio Of Power Consumed.
  8. For The Resistor Combination, Find The Equivalent Resistance Between M and N.
  9. A Circuit Consists Of A Battery Of 3 Cells (2 V Each), A Combination Of Three Resistors, 10 Ohm, 20 Ohm And 30 Ohm, Attached Parallelly, With Plug Key And Ammeter (In Series).

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CBSE CLASS XII Related Questions

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      • 2.
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        • 3.
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            • 4.
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                    CBSE CLASS XII Previous Year Papers

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