Question

show that an ohm times farad equivalent to second?

Answer 1

Answer:

Ohm × Farad = Second

Volt / ampere × coulomb / Volt = Second

Coulomb / ampere = Second

Second = second.

Answer 2

Concept:

One volt per ampere is defined as one ohm. A farad, or coulomb per volt, is the unit for capacitance.Second is equal to ohm times farad. The proof is given in Solution.

Given:

LHS =  Ohm × Farad

RHS = Seconds

Find:

To prove LHS = RHS

Explanation:

By using dimensional analysis

Proof

LHS = Ohm × Farad

we know

Volt = Ohm × Ampere

Ohm = Volt / ampere

Coulomb = Farad × Volt

Farad = coulomb / Volt

LHS = Ohm × Farad

LHS = (Volt / ampere) × (coulomb / Volt)

LHS = Coulomb / ampere

We know

Ampere = Coulomb / Seconds

LHS = Coulomb / (Coulomb / Seconds)

LHS = Coulomb × (Seconds / Coulombs)

LHS = Seconds = RHS

Hence Proved

Hence, we have proved that ohm times farad equivalent to second.

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