There are 7 fundamental quantities of measurement. These fundamental quantities include Mass, Length, Time, Current, Temperature, Amount of substance or moles, and Luminous intensity. Hence the dimension of RC is M0L0T1.

= [M0 L0 I1 T1] × [M0 L2 T0]-1 × [M0 L0 T1]-1 = [M0 L-2 T0 I1]. Therefore, the current density is dimensionally represented as [M0 L-2 T0 I1].

explanation : electric current is one among all seven fundamental quantities. and it has own unit. i.e., Ampere. so, dimensional formula of electric current is [A].

Therefore, the dimensional formula of capacitance is [M−1L−2T2Q2] .

farad

Now we can determine the dimension of RC by the dimensions of resistance(R)and capacitance(C). Therefore, the dimension formula of RC is [M0L0T]. Note:The electrical resistance of a circuit is mainly defined as the ratio of the applied voltage to the electric current that flows through it and its unit is Ohm.

In SI units, work per unit charge is expressed as joules per coulomb, where 1 volt = 1 joule (of work) per 1 coulomb (of charge)….

The dimensional function of light speed is defined as the ratio of distanced light travel in the vacuum to the time taken. Light speed takes 1/299792458 seconds for light to pass 1 meter in a vacuum. The Dimensional Light Velocity Function in Vacuum is set to be M0L1T-1.

Voltage is the difference of potential energy between two points. So voltage measures how much energy is imparted to each coulomb of charge. Capacitance is when a dielectric keeps oppositely charged plates from equalizing there EMF. The formula for capacitance is C=Q/V.

Maximum Voltage – Every capacitor has a maximum voltage that it can handle. Otherwise, it will explode! You’ll find max voltages anywhere from 1.5V to 100V. Equivalent Series Resistance (ESR) – Like any other physical material, the terminals on a capacitor have a very tiny amount of resistance.

In terms of voltage, this is because voltage across the capacitor is given by Vc = Q/C, where Q is the amount of charge stored on each plate and C is the capacitance. This voltage opposes the battery, growing from zero to the maximum emf when fully charged.

Remember that capacitors are storage devices. Remember, capacitors supply voltage to a circuit just like a battery does. The only difference is a capacitor discharges its voltage much quicker than a battery, but it’s the same concept in how they both supply voltage to a circuit.

To calculate the total overall capacitance of a number of capacitors connected in this way you add up the individual capacitances using the following formula: CTotal = C1 + C2 + C3 and so on Example: To calculate the total capacitance for these three capacitors in parallel.