List of top Physics Questions on Biot-Savart Law

Write the expression for the magnetic field due to a current element in vector form. Consider a \(1\,\text{cm}\) segment of a wire, centered at the origin, carrying a current of \(10\,\text{A}\) in positive \(x\)-direction. Calculate the magnetic field \(\vec{B}\) at a point \((1\,\text{m},1\,\text{m},0)\).

Write the expression for the magnetic field due to a current element in vector form. Consider a \(1\,\text{cm}\) segment of a wire, centered at the origin, carrying a current of \(10\,\text{A}\) in positive \(x\)-direction. Calculate the magnetic field \(\vec{B}\) at a point \((1\,\text{m},1\,\text{m},0)\).

जैसा कि चित्र में दिखाया गया है, \(r\) त्रिज्या के एक चालक वृत्ताकार लूप में धारा \(I_0\) प्रवाहित हो रही है। यदि लूप के ABC भाग का प्रतिरोध, ADC के प्रतिरोध का आधा है। लूप के केंद्र \(O\) पर चुंबकीय क्षेत्र का परिमाण है :

A current \(I_0\) flows through a metallic circular loop of radius \(r\) as shown. The resistance of arc \(ABC\) is half that of arc \(ADC\). Find the magnetic field at the centre \(O\).

Assertion-Reason Type Question Assertion (A): The magnetic field at the center of a circular current carrying loop is directly proportional to the current flowing through it.
Reason (R): According to Biot–Savart’s law, magnetic field produced by a current element is proportional to the current element. Choose the correct answer from the options given below:

The nucleus of helium atom contains two protons that are separated by a distance 3.0 $\times$ 10⁻¹⁵ m. The magnitude of the electrostatic force that each proton exerts on the other is

The magnetic induction at the centre $O$ in the figure shown is

A long wire with a small current element of length 1 cm is placed at the origin and carries a current of 10 A along the x-axis. The magnitude of the magnetic field, due to the element, on the y-axis at a distance 0.5 m from it, would be