A wire carrying current I, bent as shown in the figure, is placed in a uniform magnetic field B that emerges normally out from the plane of the figure. The force on this wire is ______
Fill in the blank with the correct answer from the options given below.
Fill in the blank with the correct answer from the options given below.
- BI(2R + πR), vertically downward
- 3BIR, directed vertically upward
- 4BIR, directed vertically downward
- 2πBIR, from P to Q
The Correct Option is A
Solution and Explanation
To solve the problem of deriving the force on the wire in a uniform magnetic field, we use the formula for magnetic force on a segment of a current-carrying wire which is given by the equation: F = IBLsinθ, where I is the current, B is the magnetic field, L is the length of the wire, and θ is the angle between the wire and the magnetic field. In this scenario, the magnetic field is perpendicular to the wire, so sinθ = 1. The wire is bent in an arc of circle combined with two straight sections.
- The length of the straight sections is 2R since both sections are equal to the radius of the circle.
- The arc part is a semicircle with a radius R, thus its length is πR.
Therefore, the total length L of the wire is:
\(L = 2R + πR\)
Thus, the total force on the wire is:
\(F = IB(2R + πR)\)
The direction of the force is determined using the right-hand rule, considering the convention that the magnetic field emerges out from the plane, leading to a force directed vertically downward. Hence, the solution to the problem is \(BI(2R + πR)\), vertically downward.
Top CUET Physics Questions
- 10 resistors, each of resistance R are connected in series to a battery of emf E and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased n times. The value of n is:
- An infinitely long wire is charged uniformly with a charge density λ and placed in the air, the electric field at a distance r from the wire will be:
- Two point charges (-q) and (+4q) are placed at that separation ‘r’. Where should a third charge be placed so that the entire system of charges becomes in equilibrium?
- A conducting sphere is charged. If the electric field at a distance of 20 cm from the center of this sphere is 1.2x103NC-1 and points radially inward, the net charge on this sphere is
- A parallel plate capacitor having cross-sectional area ‘A’ and separated by distance ‘d’ is filled by a copper plate of thickness b. its capacitance is :
Top CUET Magnetic Effects of Current and Magnetism Questions
- Which of the following particles will experience the maximum magnetic force (magnitude) when projected with the same velocity perpendicular to the magnetic field?
- The magnetic moment due to the motion of the electron in the nth energy state of a hydrogen atom is proportional to:
- A magnetic dipole aligned parallel to a uniform magnetic field requires a work of W units to rotate it through 60°. The torque exerted by the field on the dipole in this new position is:
- Three magnetic materials are listed below:
(A) Paramagnetics
(B) Diamagnetics
(C) Ferromagnetics
Choose the correct order of the materials in increasing order of magnetic susceptibility. - Two infinitely long straight parallel conductors carrying currents \(I_1\) and \(I_2\) are held at a distance d apart in vacuum. The force F on a length L of one of the conductors due to the other is _______.
Fill in the blank with the correct answer from the options given below
Top CUET Questions
Select the statements that are CORRECT regarding patterns of biodiversity.
(A) Species diversity increases as we move away from the equator towards the poles(B) The tropical Amazon rain forest in South America has the greatest biodiversity on earth.(C) There is more solar energy available in the temperate region than tropics.(D) Tropical environments are less seasonal relatively more constant and predictableWhich of the following hormone is not produced by placenta ?
- Individuals with karyotype of 44+XXY having overall masculine development with few feminine development like Gynaecomastia has _______ chromosomal disorder.
- Match List - I with List - II.Choose the correct answer from the options given below :
List - I
List - II
A Streptokinase I Blood-Cholestrol lowering agents B Cyclosporin II Clot Buster C Statins III Propionibacterium sharmanii D Swiss Cheese IV Immuno suppressive agent Which of the following option determines percolation and water holding capacity of soils ?