Intermittent windshield wipers use a circuit that looks roughly as tollows: I Position A: Position B The switch is initially in Position A. If the current in the circuit falls below 10'3 amps, it switches to Position B. The circuit element "WW\" schematically represents the windshield wiper mechanism: when current ows through it, the Wipers sweep once. It has a very small resistance, so the capacitor rapidly discharges into WW. After the capacitor discharges, the switch returns to Position A. The voltage output of the battery is V\" = 3 volts, the resistor has resistance R = 10" ohms, and the capacitor has capacitance C = 2 microfarads. Suppose that the capacitor consists of air lled, parallel plates with separation 10'4 m. a) What is the time interval between sweeps of the wipers? The designers of this car rather stupidly placed this circuit so that oil with dielectric constant K. = 10 can leak into the capacitor. b) If the capacitor becomes filled with oil, what is the time interval between sweeps? Because cars are typically rather dirty, the oil that fills the capacitor is not likely to be pure. Suppose that the impure, dirty oil has a dielectric strength of 104 Volts/meter. c) What is the maximum voltage the plates can support? d) How do the windshield wipers behave in this situation