In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf’s of two cells respectively is 3 : 2, the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm.
\(\frac{\epsilon_1}{\epsilon_2}=\frac{l_1}{l_2}\)
\(\frac{3}{2}=\frac{75\,cm}{l_2}\)
\(l_2=50\,cm\)
\(l_1-l_2=75-50=25\,cm\)
The Lagrangian of a particle of mass \( m \) and charge \( q \) moving in a uniform magnetic field of magnitude \( 2B \) that points in the \( z \)-direction, is given by: \[ L = \frac{m}{2} v^2 + qB(x v_y - y v_x) \] where \( v_x, v_y, v_z \) are the components of its velocity \( v \). If \( p_x, p_y, p_z \) denote the conjugate momenta in the \( x, y, z \)-directions and \( H \) is the Hamiltonian, which of the following option(s) is/are correct?
A proton is moving undeflected in a region of crossed electric and magnetic fields at a constant speed of \( 2 \times 10^5 \, \text{m/s} \). When the electric field is switched off, the proton moves along a circular path of radius 2 cm. The magnitude of electric field is \( x \times 10^4 \, \text{N/C} \). The value of \( x \) is \(\_\_\_\_\_\). (Take the mass of the proton as \( 1.6 \times 10^{-27} \, \text{kg} \)).
Due to presence of an em-wave whose electric component is given by \( E = 100 \sin(\omega t - kx) \, NC^{-1} \), a cylinder of length 200 cm holds certain amount of em-energy inside it. If another cylinder of same length but half diameter than previous one holds same amount of em-energy, the magnitude of the electric field of the corresponding em-wave should be modified as:
In the first configuration (1) as shown in the figure, four identical charges \( q_0 \) are kept at the corners A, B, C and D of square of side length \( a \). In the second configuration (2), the same charges are shifted to mid points C, E, H, and F of the square. If \( K = \frac{1}{4\pi \epsilon_0} \), the difference between the potential energies of configuration (2) and (1) is given by:
In the first configuration (1) as shown in the figure, four identical charges \( q_0 \) are kept at the corners A, B, C and D of square of side length \( a \). In the second configuration (2), the same charges are shifted to mid points C, E, H, and F of the square. If \( K = \frac{1}{4\pi \epsilon_0} \), the difference between the potential energies of configuration (2) and (1) is given by:
EMF stands for electromagnetic field, which is a physical field produced by the movement of electrically charged particles. This field is composed of both electric and magnetic fields, which are perpendicular to each other and propagate through space as waves.
EMF is produced whenever an electrical current flows through a wire or other conductor. The strength of the EMF depends on the magnitude of the current and the frequency of the waves. High-frequency EMF waves are known as radio waves and are used for communication, while low-frequency EMF waves are used in power generation and transmission.
EMF has a wide range of applications in technology, such as in wireless communication, electrical power generation, and medical imaging. However, exposure to high levels of EMF has been linked to potential health risks, such as increased cancer risk, and there is ongoing research into the effects of EMF exposure on human health.
To measure EMF, specialized equipment such as EMF meters are used. These meters measure the strength and frequency of the electromagnetic waves in a given location. EMF shielding materials, such as conductive fabrics and metals, can also be used to reduce exposure to EMF.
Overall, EMF is an important physical phenomenon with many applications in technology, but it is also important to consider its potential health risks and take measures to reduce exposure when necessary.