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Consider two parallel wires each of mass \(2 \text{ kg}\) connected to two frictionless rails separated by a distance of \(6 \text{ m},\) as shown. One of them carries a ...

A conducting wire of length \(L\) is converted into a regular polygon of \(n\) sides. On passing, a current of \(I\) through the wire produces a magnetic field of intensity ...

A uniform circular ring conductor is connected to a battery, as shown.

Here the radius of the ring is \(5\) meters and the current \(I\) is \(5\) amperes. If ...

\[\large \begin{align} X & = \sum_{n=0}^{\infty} \frac{{(2x)}^{n}(-1)^{\left\lfloor \frac{n}{2} \right\rfloor}}{n!}\\ \end{align}\]

Find \(\lfloor \max(100X)\rfloor\).

Notations:

An ellipse \(E_1\) has the following properties:-

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