A device called a railgun uses the magnetic force on currents to launch projecti

Question

A device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in (Figure 1) . A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.71 m resistance and a mass of 4.8 g . Ignore the resistance of the rails. The power supply is switched on.

Part A

What is the current?

Part B

What is direction of the force on the wire?

Part C

What is the magnitude of the force on the wire?

Part D

What will be the wire's speed after it has slid a distance of 4.0 cm ?

Explanation / Answer

Given :-

V = 1.2 v

R = 0.71 x 10^-3 ohm

m = 4.8 g

length of coper wire is not given ( L = ??)

required figure for this problem.

1)

V = IR

I = V / R

I = 1.2 / (0.71 x 10^-3)

I = 1714.28 amp

F = IL x B

IFI = ILB .........L is dont know

F = ma

a = F/m

using vf^2 = u^2 + 2aS

where u=0 v

Vf = sqrt(2aS) S = 0.04 m

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