Capacitors charge linearly when a constant current is applied to them. This means that the voltage across the capacitor increases at a constant rate until it reaches the maximum voltage it can hold.
A linear charging circuit is a circuit where the voltage across the capacitor increases at a constant rate, resulting in a linear charging curve. This is achieved by using a constant current source to charge the capacitor.
The equation for linear capacitor charging is V = V0(1 - e^(-t/RC)), where V is the voltage across the capacitor at time t, V0 is the maximum voltage the capacitor can hold, R is the resistance in the circuit, and C is the capacitance of the capacitor.
The time it takes for a capacitor to charge linearly depends on the capacitance and the resistance in the circuit. It can be calculated using the equation t = RC, where t is the time it takes to charge the capacitor, R is the resistance, and C is the capacitance.
The purpose of using linear capacitor charging is to achieve a constant and predictable voltage across the capacitor. This is useful in many electronic circuits where a steady voltage is required, such as in power supplies and timing circuits.