Physics · Explorer

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Resistance along a wireRunning
Particle chamber. Wire length at 9.6 m. Resistance wound 0.77 Ω, Specified resistance 4.8 Ω. Currently resistance wound is short by 4.032 Ω.TUNINGSEALED PARTICLE CHAMBER9.6 M
t = 0.0s

Resistance wound

0.77Ω

Specified resistance

4.8Ω

9.6 m

Particle chamber. Wire length at 9.6 m. Resistance wound 0.77 Ω, Specified resistance 4.8 Ω. Currently resistance wound is short by 4.032 Ω.

What has to balanceR=ρLAR = \rho \frac{L}{A}

What is happening

You are called to a school laboratory winding a heating element to a specified resistance.

The element runs too hot and trips the supply. This wire adds 0.08 Ω for every metre of it, and the element has to come out at 4.8 Ω.