Step 1: Understanding the Question:
The question asks to find the electric current flowing through a closed circuit loop of known total resistance connected to an electromotive force (EMF) source.
Step 2: Key Formula or Approach:
For a simple closed loop, Ohm's law (or Kirchhoff's Loop Rule) relates current ($I$), EMF ($V$), and total resistance ($R$):
\[ I = \frac{V}{R} \]
Step 3: Detailed Explanation:
• Let us identify the given parameters:
Electromotive force of the source, $\text{EMF} = 10\text{ V}$
Total loop resistance, $R = 5\ \Omega$
• According to Ohm's Law, the steady current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the path.
• Substituting the values into the formula:
\[ I = \frac{10}{5} \]
\[ I = 2\text{ A} \]
• Thus, a steady current of $2\text{ A}$ flows through the circuit loop.
Step 4: Final Answer:
The electric current flowing in the circuit is $2\text{ A}$.