Question

Measure the current in the circuit using the resistor and voltage combinations given below.


Voltage
Resistance
Current
10 volts
20 ohms


20 volts
20 ohms


30 volts
20 ohms




Voltage
Resistance
Current
30 volts
20 ohms


30 volts
100 ohms


30 volts
200 ohms

Answer 1

To calculate the current in a circuit, you can use Ohm's Law, which states:

\[
I = \frac{V}{R}
\]

where:
- \(I\) is the current (in amperes, A),
- \(V\) is the voltage (in volts, V),
- \(R\) is the resistance (in ohms, Ω).

Let's calculate the current for each combination of voltage and resistance given:

1. **10 volts, 20 ohms**:
\[
I = \frac{10 \text{ V}}{20 \text{ Ω}} = 0.5 \text{ A}
\]

2. **20 volts, 20 ohms**:
\[
I = \frac{20 \text{ V}}{20 \text{ Ω}} = 1.0 \text{ A}
\]

3. **30 volts, 20 ohms**:
\[
I = \frac{30 \text{ V}}{20 \text{ Ω}} = 1.5 \text{ A}
\]

4. **30 volts, 20 ohms** (duplicate):
\[
I = \frac{30 \text{ V}}{20 \text{ Ω}} = 1.5 \text{ A}
\]

5. **30 volts, 100 ohms**:
\[
I = \frac{30 \text{ V}}{100 \text{ Ω}} = 0.3 \text{ A}
\]

6. **30 volts, 200 ohms**:
\[
I = \frac{30 \text{ V}}{200 \text{ Ω}} = 0.15 \text{ A}
\]

Here are your calculated current values:

- **10 volts, 20 ohms**: **0.5 A**
- **20 volts, 20 ohms**: **1.0 A**
- **30 volts, 20 ohms**: **1.5 A**
- **30 volts, 20 ohms**: **1.5 A** (duplicate)
- **30 volts, 100 ohms**: **0.3 A**
- **30 volts, 200 ohms**: **0.15 A**