When a current flows through a straight conductor, such as a copper rod, a magnetic field is produced around it.
This is described by Ampere’s Circuital Law, which states: \[ \oint B \cdot dl = \mu_0 I, \] where: \( B \) is the magnetic field, \( \mu_0 \) is the permeability of free space, \( I \) is the current flowing through the conductor.
The field lines form concentric circles around the conductor, with the direction given by the right-hand rule: Point your thumb in the direction of the current.
The curl of your fingers gives the direction of the magnetic field.
A particle is executing simple harmonic motion with a time period of 3 s. At a position where the displacement of the particle is 60% of its amplitude, the ratio of the kinetic and potential energies of the particle is:
A current-carrying rectangular loop PQRS is made of uniform wire. The length PR = QS = \( 5 \, \text{cm} \) and PQ = RS = \( 100 \, \text{cm} \). If the ammeter current reading changes from \( I \) to \( 2I \), the ratio of magnetic forces per unit length on the wire PQ due to wire RS in the two cases respectively \( F^{I}_{PQ} : F^{2I}_{PQ} \) is:
A real gas within a closed chamber at \( 27^\circ \text{C} \) undergoes the cyclic process as shown in the figure. The gas obeys the equation \( PV^3 = RT \) for the path A to B. The net work done in the complete cycle is (assuming \( R = 8 \, \text{J/molK} \)):