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IB Physics HLD.2 Electric and magnetic fieldsQuestion Bank

Question 1

[Maximum number: 2]

Ion-thrust engines can power spacecraft. In this type of engine, ions are created in a chamber and expelled from the spacecraft. The spacecraft is in outer space when the propulsion system is turned on. The spacecraft starts from rest.

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The mass of ions ejected each second is 6.6×106 kg6.6 \times 10^{-6} \mathrm{~kg} and the speed of each ion is 5.2×104 m s15.2 \times 10^{4} \mathrm{~m} \mathrm{~s}^{-1}. The initial total mass of the spacecraft and its fuel is 740 kg . Assume that the ions travel away from the spacecraft parallel to its direction of motion.

Question 1(c)

(a)

In practice, the ions leave the spacecraft at a range of angles as shown.

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[ 2 ]

Question 1(c)(i)

(i)

Outline why the ions are likely to spread out.

[ 2 ]

Question 7

[Maximum number: 1]

Two charged parallel metal plates, X and Y , are separated by a distance of 2.0 m.X2.0 \mathrm{~m} . \mathrm{X} is at a potential of -150 V and Y is at a potential of +150 V .

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Point P is midway between X and Y . Which of the following gives the electric field strength at point P ?

A

150Vm1150 \mathrm{Vm}^{-1} to the right

B

150Vm1150 \mathrm{Vm}^{-1} to the left

C

300Vm1300 \mathrm{Vm}^{-1} to the right

D

300Vm1300 \mathrm{Vm}^{-1} to the left

Question 8

[Maximum number: 1]

Which diagram shows a correct equipotential line due to two point charges X and Y of opposite sign?

A
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B
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C
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D
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Question 3

Question 3(a)

(a)

Two identical conducting spheres X and Y that carry positive charges are separated by a centre-to-centre distance of 24.0 cm in a vacuum. The charge on X is 9 Q and the charge on Y is Q. Point R is 6.0 cm from the centre of Y, as shown.

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The resultant electric field at R is 32.6MNC132.6 \mathrm{MNC}^{-1}. Determine Q, giving an appropriate unit.

[ 2 ]

Question 3

[Maximum number: 5]

A vertical wall carries a uniform positive charge on its surface. This produces a uniform horizontal electric field perpendicular to the wall. A small, positively-charged ball is suspended in equilibrium from the vertical wall by a thread of negligible mass.

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Question 3(d)

(a)

The centre of the ball, still carrying a charge of 1.2×106C1.2 \times 10^{-6} \mathrm{C}, is now placed 0.40 m from a point charge Q . The charge on the ball acts as a point charge at the centre of the ball.
P is the point on the line joining the charges where the electric field strength is zero. The distance PQ is 0.22 m .

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[ 5 ]

Question 3(d)(i)

(i)

Calculate the charge on Q. State your answer to an appropriate number of significant figures.

[ 3 ]

Question 3(d)(ii)

(ii)

Outline, without calculation, whether or not the electric potential at P is zero.

[ 2 ]

Question 14

[Maximum number: 1]

Electric field lines

A

can cross each other.

B

are parallel to equipotential surfaces.

C

are directed from negative to positive charges.

D

show field strength by their density.

Question 3

[Maximum number: 2]

Two oppositely charged parallel plates are a distance 8.0 cm apart. The potential difference between the plates is 120 V . An alpha particle is placed on the positively charged plate and released from rest. Gravity is ignored.

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Question 3(a)

(a)

Calculate the electric field between the plates.

[ 1 ]

Question 3(b)

Question 3(b)(iii)

(b)
(i)

State, in eV, the kinetic energy of the alpha particle when it arrives at the negative plate.

[ 1 ]

Question 15

[Maximum number: 1]

Electrons are moving in a long wire that is normal to the plane of the paper. The electrons move into the paper.

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What is the direction of the magnetic field at point P ?

Question 15

[Maximum number: 1]

A sphere of mass m and positive charge q is at rest midway between two horizontal parallel plates separated by a distance s. The potential difference across the plates is V.

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What is q ?

A

smgV\frac{s}{m g V}

B

Vmgs\frac{V}{m g s}

C

mgVs\frac{m g V}{s}

D

mgsV\frac{m g s}{V}

Question 15

[Maximum number: 1]

Two point charges of +4 q and -q are placed a fixed distance apart. Where is the electric field strength equal to zero?

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