The dependent source shown in Fig. 8.92 is unfortunately installed upside down during manu...

The dependent source shown in Fig. 8.92 is unfortunately installed upside down during manufacturing, so that the terminal corresponding to the arrow head is actually wired to the negative reference terminal of the voltage source. This is not detected by the quality assurance team so the unit ships out wired improperly. The capacitor is initially discharged. If the 5 Ω resistor is only rated to 2 W, after what time t is the circuit likely to fail?