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Question EXE.2.SL.TZ0.14

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Date Example questions Example questions Marks available [Maximum mark: 7] Reference code EXE.2.SL.TZ0.14
Level SL Paper 2 Time zone TZ0
Command term Calculate, Deduce, Explain, State Question number 14 Adapted from N/A
14.
[Maximum mark: 7]
EXE.2.SL.TZ0.14

Two long parallel current-carrying wires P and Q are separated by 0.10 m. The current in wire P is 5.0 A.

The magnetic force on a length of 0.50 m of wire P due to the current in wire Q is 2.0 × 10−5 N.

(a)

State and explain the magnitude of the force on a length of 0.50 m of wire Q due to the current in P.

[2]

Markscheme

From Newton’s third law, the force on a length of Q is equal but opposite to the force on the same length of P ✓

2.0×10-5N

(b)

Calculate the current in wire Q.

[2]

Markscheme

2.0×10-50.50=4π×10-7×5.0×IQ2π×0.10

IQ=4.0 «A» ✓ 

(c)

Another current-carrying wire R is placed parallel to wires P and Q and halfway between them as shown.

The net magnetic force on wire Q is now zero.

(c.i)

State the direction of the current in R, relative to the current in P.

[1]

Markscheme

Opposite ✓ 

(c.ii)

Deduce the current in R.

[2]

Markscheme

The force on Q due to R must have the same magnitude «but opposite direction» as the force on Q due to P ✓

The distance is halved therefore one half of the current is needed to produce the same force, so 2.5 A ✓