Physics, Paper II

H/m ) × ( 1870 ) 2 × ( 0.001555 m 2 ) ​ L $\approx \frac{(1.216 \times 10^{-3}) \times (3496900) \times (0.001555)}{1.26} L$ $\approx \frac{6608.7}{1.26} \text{ H} L$ $L \approx 5245 \text{ H}$ Therefore, the inductance of the solenoid is approximately 5245 H . ( c ) Write the importance of Faraday's law in today's prospective. [ 2 ] Importance of Faraday's Law Faraday's Law of Electromagnetic Induction is fundamental to modern technology, underpinning the generation and transmission of electrical power. Its primary importance lies in: Electricity Generation: It explains the principle behind AC generators and dynamos, where relative motion between a conductor and a magnetic field induces an electromotive force (EMF). This is the basis of virtually all power plants (hydroelectric, thermal, nuclear). Transformers: The operation of transformers, crucial for stepping voltage up or down in power grids, relies entirely on mutual induction as described by Faraday's Law. Induction Motors: While more complex, the principles of electromagnetic induction are integral to the functioning of AC induction motors, widely used in industry and domestic appliances. Other Applications: It is also vital for inductors, magnetic brakes, wireless charging, and many sensing technologies. The law quantifies the induced EMF as $\mathcal{E} = -\frac{d\Phi_B}{dt}$ , where $\Phi_B$ is the magnetic flux. This mathematical relationship allows for precise engineering of devices that convert mechanical energy to electrical energy and vice versa. 4