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Physics · May / June 2023 · Paper 41 · Question 7

0625

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The question as text

Fig. 7.1 shows a circuit that contains a battery, a switch, a voltmeter and three 40 Ω resistors, R1, R2 and R3. V R1 R3 R2 Fig. 7.1 The switch is open and resistors R1 and R2 form a potential divider.

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  • 7(a)[2]

    any two from:

    (potential divider) splits / shares / divides the e.m.f. / voltage / potential difference / p.d. (of a power source / in a circuit) •

    (e.m.f. is) split between (two) resistors / components (connected in series to power source)

    (potential divider shares e.m.f.) in proportion to the resistances (of the resistors / components)

  • 7(b)(i)[1]

    (e.m.f. =) 15 V

  • 7(b)(ii)[3]

    (resistance =) 60 Ω

    (Rll =) R2R3 / (R2 + R3) OR (Rll =) 40 × 40 / (40 + 40) OR (Rll =) 1600 / 80

    OR 1 / Rll = 1 / R2 + 1 / R3 OR 1 / Rll = 1 / 40 + 1 / 40 OR (Rll =) (1 / 40 + 1 / 40)–1 OR (Rll =) 20 (Ω)

    (resistance =) 40 + (candidate’s value for combined resistance of R2 and R3)

  • 7(c)[2]

    (reading =) 10 V

    emf shared in same proportion as resistance

    OR e.g. R1 / Rll = V1 / Vll

    OR (reading =) 15 × 40 / 60 OR (reading =) 0.25 × 40

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