2. D.C. Circuits
Open the simulation and work through each chapter. Write your prediction before you run the test.
a. Series circuits
Predict
A₁ reads 0.20 A. Predict the reading on A₃ (after both resistors).
Test: recording table
| R₁ / Ω | R₂ / Ω | I / A | V₁ / V | V₂ / V | V₁ + V₂ / V |
|---|---|---|---|---|---|
Pattern I found:
Challenge
Make the ammeter read 0.25 A using the 6.0 V battery and 12 Ω lamps. Fill the gap in the top wire.
Exam practice
- Three identical lamps are connected in series to a 9.0 V battery. What is the p.d. across each lamp? [1]
A 1.0 V
B 3.0 V
C 9.0 V
D 27 VAnswer: ____
- A 4.0 Ω resistor and an 8.0 Ω resistor are connected in series to a 12 V supply. Calculate the current. [2]
- For the same circuit, calculate the p.d. across the 8.0 Ω resistor. [1]
b. Parallel circuits
Predict
Switch S is opened. Predict what happens to A₁ (lamp branch) and to the main ammeter A.
Test: recording table
| R / Ω | A₁ / A | A₂ / A | A / A | A₁ + A₂ / A |
|---|---|---|---|---|
Pattern I found:
Challenge
Make the main ammeter read 1.50 A by adding 12 Ω lamps. Drop each lamp so that its two ends sit on the two vertical wires.
Exam practice
- Two lamps of different resistance are connected in parallel to a 6.0 V supply. What is the p.d. across each lamp? [1]
A 3.0 V across each
B 6.0 V across each
C 12 V across each
D It depends on each lamp’s resistanceAnswer: ____
- The current from the supply to two parallel branches is 0.90 A. The current in one branch is 0.35 A. Calculate the current in the other branch. [1]
- A 3.0 Ω resistor and a 6.0 Ω resistor are connected in parallel to a 6.0 V battery. Calculate the current from the battery. [2]
c. Effective resistance
Predict
One 12 Ω resistor: ammeter reads 0.50 A. A second 12 Ω resistor is added in parallel. Predict the new reading.
Test: recording table
| Branches | R values / Ω | I / A | R_eff measured / Ω | R_eff calculated / Ω |
|---|---|---|---|---|
Pattern I found:
Challenge
Using only 10 Ω resistors, complete the circuit so that the ammeter reads 0.40 A. Join the open end of the top wire to the open end on the right.
Exam practice
- Calculate the effective resistance of a 6.0 Ω resistor and a 3.0 Ω resistor connected in parallel. [2]
- Two identical lamps are connected in parallel across a battery. A third identical lamp is connected in parallel with them. What happens to the effective resistance of the lamps and to the current from the battery? [1]
A Resistance increases; current decreases
B Resistance decreases; current increases
C Resistance decreases; current decreases
D Resistance stays the same; current increasesAnswer: ____
- Two 6.0 Ω resistors are connected in parallel, and this pair is connected in series with a third 6.0 Ω resistor. Calculate the effective resistance. [2]
d. Potential dividers
Predict
R₁ = R₂ = 1.0 kΩ across 9.0 V. Predict Vout when R₂ becomes 2.0 kΩ.
Test: recording table
| R₁ / Ω | R₂ / Ω | Vout measured / V | R₂/(R₁+R₂) × 9.0 V |
|---|---|---|---|
Pattern I found:
Challenge
Set R₁ and R₂ so that Vout = 3.0 V and the battery supplies a current of 1.0 mA.
Exam practice
- A 2.0 kΩ resistor and a 4.0 kΩ resistor are connected in series across a 12 V supply. Calculate the p.d. across the 4.0 kΩ resistor. [2]
- In a potential divider, Vout is taken across R₂. Which change increases Vout? [1]
A Increasing R₁
B Increasing R₂
C Decreasing the supply p.d.
D Decreasing R₂Answer: ____
- A 6.0 V supply is connected across R₁ = 3.0 kΩ in series with R₂. What value of R₂ gives 2.0 V across R₂? Give your answer in kΩ. [2]
e. Sensing circuits
Predict
Thermistor at the bottom of the divider. Predict what happens to Vout as it is heated from 20 °C to 80 °C.
Test: recording table
| θ / °C or light / % | R_sensor / Ω | Vout / V | Output ON/OFF |
|---|---|---|---|
Pattern I found:
Challenge
Design a fire alarm: the output must be ON at 60 °C and OFF at 30 °C. Choose where the thermistor goes and the value of the fixed resistor.
Exam practice
- The light shining on an LDR becomes brighter. What happens to its resistance? [1]
A It increases
B It decreases
C It stays the same
D It increases, then decreasesAnswer: ____
- An NTC thermistor is the lower resistor of a potential divider and Vout is taken across it. The temperature rises. What happens to Vout? [1]
A It rises
B It falls
C It stays the same
D It becomes equal to the supply p.d.Answer: ____
- An LDR is connected in series with a 2.0 kΩ resistor across a 6.0 V supply. In the dark the LDR has a resistance of 10 kΩ. Calculate the p.d. across the LDR. [2]