Higher November 2022 Paper 3 Q15

15 A mobile phone takes 2 hours to charge from empty.

When the phone is being charged, the current flow into the phone

  • starts at full current flow (100%)
  • continues at full current flow for a period of time
  • gradually decreases until the phone is fully charged.

This is shown on Graph A below.

Graph A

Graph A: current flow (%) against charge time (minutes) from 0 to 120. Horizontal at 100% from 0 to about 26 minutes, then decreasing steeply to about 40% at 36 minutes and gradually towards 0 at 120 minutes
Graph B shows the percentage charge in the phone when charging from empty.

Graph B

Graph B: charge in phone (%) against charge time (minutes) from 0 to 120. A curve rising almost linearly from 0, reaching about 85% at 40 minutes and levelling off towards 100% at 120 minutes

Megan’s phone is empty of charge.

She starts to charge her phone at 10.00 am

(a) Using Graph A,

estimate the time when the current flow starts to decrease. [2 marks]

(b) Using Graph A and Graph B,

estimate the percentage charge in the phone when the current flow is 40% [1 mark]

(c) Using Graph B,

estimate the rate of increase in the percentage charge when the phone has 90% charge. [2 marks]