What is the torque on a current carrying loop?
A current-carrying coil kept in a magnetic field experiences a torque, which is the cross product of the magnetic moment and the field vector. Hence, the torque is maximum when the dipole moment is perpendicular to the field, and zero when it’s parallel or antiparallel to the field.
What is the torque acting on a magnetic dipole?
When a magnetic dipole moment µ is positioned into a magnetic field B it experiences a torque τ = µ × B. The torque is an agent of reorientation just as the force is an agent of relocation. The torque τ aims to align the vector µ with the vector B.
What is torque on a current loop in magnetic field?
A magnetic dipole is the limit of either a closed loop of electric current or a pair of poles as the dimensions of the source are reduced to zero while keeping the magnetic moment constant.
How do you calculate torque on a dipole?
τ = (q E sinθ) d = q d E sinθ Since ‘qd’ is the magnitude of dipole moment (p), and the direction of dipole moment is from positive to negative charge; torque is the cross product of dipole moment and electric field.
What is the torque on a current loop when the loop is placed along the magnetic field lines?
The torque about this axis is: τ = F (a/2) + F (a/2) = Fa = IabB. ab is the area of the loop, so the torque is, in this case, τ = IAB.
What is the formula of torque for magnetic moment?
Magnetic Dipole Moment The force exerted on each side of the loop (and therefore the torque) will then be multiplied by the number of turns in the wire, N. The product of N, I, and A is written as a single quantity μ, giving the magnitude of the torque for this case the simple form of τ=μB.
How do you calculate magnetic torque?
The formula to calculate the torque on a rectangular loop of wire with multiple turns carrying a current in a magnetic field is ? = ? ? ? ? . We can rearrange this equation for the magnetic field strength, ? : ? = ? ? ? ? .
What is the effect of torque on dipole in an electric field?
Answer: Even though the two forces on the ends of the dipole cancel as free vectors, they act at different points. This means that they give rise to a torque on dipole. The turning effect of this torque is to reduce the angle q towards zero, and make the dipole moment vector become parallel to the field.
What is magnetic dipole moment of a current loop?
The magnetic dipole moment of the current loop is equal to the product of ampere-turns and area of current loop. It is denoted by M. M = nIA. Where, n = number of turns in a circular current loop.
What is the torque acting on an electric dipole?
And the direction of the dipole moment is from the positive to the negative charge; it can be seen from the above equation that the torque is the cross product of the dipole moment and electric field.
On which condition does the torque acting on electric dipole is maximum?
Solution : When electric dipole is placed perpendicular to the direction of electric field, then torque acting on it will be maximum.
How do you calculate magnetic dipole moment?
The strength of that tiny magnet, the magnetic dipole moment m, is given by m = NIA, giving the units – Ampere meter square. The magnetic dipole moment is a vector quantity and its direction is given by the right-hand thumb rule.
What is a dipole antenna?
A dipole antenna commonly consists of two identical conductive elements such as metal wires or rods. The driving current from the transmitter is applied, or for receiving antennas the output signal to the receiver is taken, between the two halves of the antenna.
How do you calculate the magnetic moment of a current loop?
Solution : `M=NIA`, when N is number of turns I, the current and A=area of cross section of loop.
Why is a current loop considered as a magnetic dipole?
At the lower face of the loop, the current being flowing loop thus behaves as a sy magnetic dipole clockwise, it will behave as magnetic south pole. The current carrying stem of two equal and opposite magnetic poles and hence is a magnetic dipole.
How do you find the maximum torque of a dipole?
- Hint: When an electric dipole is kept in an electric field, force acts on it due to the electric field.
- Formula used: \[\tau =pE\sin \theta \]
- Complete step by step solution:
- Therefore, the electric field for maximum torque acting on the dipole is \[2\times {{10}^{4}}C\,{{m}^{2}}\] .
How do you calculate torque acting on a dipole?
What is the maximum and minimum torque acting on dipole?
When an electric dipole moment is kept in an electric field, force acts on both charges in a dipole. The force acting on the charges acts as a couple and the dipole experiences a torque. The torque is maximum when it makes \[{{90}^{o}}\] with the electric field, which is the most unstable position.