{Electromagnetic Fields}: Time-varying electric fields and accelerating charges are fundamental in generating electromagnetic waves, which consist of oscillating electric and magnetic fields. Understanding the sources of these fields is essential in electromagnetism and applications like wireless communication.
A time-varying magnetic field can be produced by sources that involve changing electric fields or accelerating charges. Let's analyze each option:
Analysis of Options:
Conclusion:
Only option (D) results in a time-varying magnetic field. Therefore, the correct answer is (3) (D) only.
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field \( B \) exists into the page. The bar starts to move from the vertex at time \( t = 0 \) with a constant velocity. If the induced EMF is \( E \propto t^n \), then the value of \( n \) is _____. 
Consider an A.P. $a_1,a_2,\ldots,a_n$; $a_1>0$. If $a_2-a_1=-\dfrac{3}{4}$, $a_n=\dfrac{1}{4}a_1$, and \[ \sum_{i=1}^{n} a_i=\frac{525}{2}, \] then $\sum_{i=1}^{17} a_i$ is equal to
