The given circuit is a rectifier circuit with a diode and a load resistor connected to an AC source. The diode cutting voltage is Vin = 0, which means that the diode starts conducting when the input voltage is greater than zero. The objective is to determine the minimum load resistance that can be connected to the output while keeping the ripple voltage no more than vrip = 4 V.

1. Understanding the Rectifier Circuit:
The rectifier circuit is used to convert AC (alternating current) into DC (direct current). It consists of a diode that allows current to flow in only one direction. When the input voltage is positive, the diode conducts and allows the current to flow through the load resistor. When the input voltage is negative, the diode blocks the current flow.

2. Ripple Voltage:
The ripple voltage is the AC component present in the rectified output. It is caused by the fluctuations in the input voltage and the behavior of the diode. In an ideal rectifier circuit, the ripple voltage would be zero. However, in practical circuits, there is always some ripple present.

3. Determining the Ripple Voltage:
The ripple voltage can be calculated using the equation:

Vrip = I / (2fC)

Where:
- Vrip is the ripple voltage
- I is the load current
- f is the frequency of the input voltage
- C is the value of the filter capacitor

4. Analyzing the Circuit:
In the given circuit, the input voltage is Vin = 0, which means that the diode is always off. Therefore, no current flows through the load resistor, and the output voltage is zero. In this case, the ripple voltage is also zero.

5. Determining the Minimum Load Resistance:
Since the input voltage is always zero, the load resistor does not affect the output voltage or the ripple voltage. Therefore, the minimum load resistance that can be connected to the output is zero ohms.

6. Conclusion:
In the given circuit, the minimum load resistance that can be connected to the output while keeping the ripple voltage no more than vrip = 4 V is zero ohms. This is because the diode is always off when the input voltage is zero, and no current flows through the load resistor. Therefore, the load resistor does not affect the output voltage or the ripple voltage.