To solve the problem, we need to find the total current flowing in the circuit using Ohm's Law.
1. Identify the Components:
- Two resistors in series: $5\,\Omega$ and $10\,\Omega$
- Voltage source: $30\,V$
2. Calculate the Total Resistance:
Since the resistors are in series, the total resistance $R_{\text{total}}$ is:
$ R_{\text{total}} = 5 + 10 = 15\,\Omega $
3. Apply Ohm's Law:
Ohm's Law: $ I = \frac{V}{R} $
Substitute the values:
$ I = \frac{30}{15} = 2\,A $
Final Answer:
The current in the circuit is $ 2\,A $.