For current to flow in a circuit with a diode, the voltage across the diode must be greater than or equal to its threshold (typically \( 0.7 \, {V} \) for silicon diodes) and forward biased.
Step 1: In the given circuit, we observe that there is a diode in series with the resistor and the voltage source. The voltage across the diode is \( -5 \, {V} \) and the voltage across the resistor is \( -2 \, {V} \). Step 2: For current to flow in the circuit, the diode needs to be forward biased. However, in this case, the total voltage across the circuit is \( -7 \, {V} \), which is not enough to forward bias the diode. Step 3: Since the diode is reverse biased, no current will flow through the circuit.
