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4.3.2a Series circuits

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Question 24

A physics class is investigating the combined resistance of two identical resistors arranged either in series or in parallel.

A student sets up the resistors in a parallel circuit (Circuit A) under a specific voltage. The voltage across the parallel combination is measured as Vp=3.0 VV_p = 3.0\text{ V}Vp​=3.0 V and the total current from the source is Ip=0.60 AI_p = 0.60\text{ A}Ip​=0.60 A.

Next, the student rearranges the same two resistors into a series circuit (Circuit B). The readings are recorded as:

  • Voltage across the combination: Vs=6.0 VV_s = 6.0\text{ V}Vs​=6.0 V
  • Current through the circuit: Is=0.30 AI_s = 0.30\text{ A}Is​=0.30 A
a.

State the standard SI symbols used for the units of voltage, current, and resistance.

[1]
b.

Calculate the combined resistance of the resistors for both configurations:

  1. Parallel resistance, RpR_pRp​, using the equation Rp=VpIpR_p = \frac{V_p}{I_p}Rp​=Ip​Vp​​.
  2. Series resistance, RsR_sRs​, using the equation Rs=VsIsR_s = \frac{V_s}{I_s}Rs​=Is​Vs​​.
[2]
c.

Calculate the ratio yyy of the resistances using the equation:

y=RsRp y = \frac{R_s}{R_p} y=Rp​Rs​​
[1]
d.

An engineer sets up a test circuit containing two DC motors connected in parallel to a power source. An ammeter is connected to measure the total circuit current, and a variable resistor is placed in series with the power source.

State the primary purpose of the variable resistor in this control circuit.

[1]
e.

Describe how a voltmeter should be connected to measure the potential difference across one of the motors.

[1]
Markscheme

4.3.2a Series circuits Questions

  1. IGCSE
  2. /Physics
  3. /4.3.2a Series circuits

52 exam-style questions on CIE IGCSE Physics 4.3.2a Series circuits. Each one has a worked solution and a mark scheme showing where the marks go.

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