a. Find the force acting on the solenoid when its head is positioned in the... · OlympiadBench #1499

Physics · electromagnetism

Problem

a. Find the force

F_{1}

acting on the solenoid when its head

O_{1}

is positioned in the loop centre

O

. What is the force

F_{2}

acting on the solenoid when its tail

O_{2}

is located in the centre of the loop? Given constants: ## T1: Solenoid and loop A closed circular loop of radius

r

consists of an ideal battery of electromotive force

\mathcal{E}

and a wire of resistance

R

. A long thin air-core solenoid is aligned with the axis of the loop (

z

-axis). Its length is

\ell \gg r

, cross-sectional area is

A(\sqrt{A} \ll r)

, and the number of turns is

N

. The solenoid is powered by a constant current

I

provided by an ideal current source. The directions of the currents in the solenoid and in the loop are the same (clockwise in the figure). <image_1>