The relationship between charge, current, and time is given by:
\[Q = I \times t\]
Where:
$Q$ = Charge (in Coulombs)
$I$ = Current (in Amperes)
$t$ = Time (in seconds)
Step 1: Convert time to seconds:
\[t = 2 \, \text{hours} = 2 \times 3600 = 7200 \, \text{seconds}\]
Step 2: Calculate charge:
\[Q = 0.5 \, \text{A} \times 7200 \, \text{s}\]
\[Q = 3600 \, \text{C}\]
Final Answer: The charge that flows through the circuit is 3600 C.