PhysicsThe dimensions of RC are:


The dimensions of RC are:


  1. A
    MLT
  2. B
  3. C
  4. D
     

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    Solution:

    Concept- To answer this topic, we must be familiar with the dimensional formulas for resistance and capacitance. By using their fundamental formulas, we may also get the dimensional formulas for resistance and capacitance. The dimension of RC would result from multiplying the dimensions of R and C.
    An electric circuit that uses resistors and capacitors and is powered by a voltage or current source is known as a resistor-capacitor (RC) circuit. This circuit is also referred to as an RC network or filter. One resistor and one capacitor make up the simplest RC circuit.
    The terminology "dimensional formula" is used to express physical quantities in terms of specific fundamental quantities. Seven primary units of measurement exist. Mass, length, time, current, temperature, amount of substance or moles, and luminance intensity are some examples of these fundamental quantities.
    The Resistance equation is
    Dimensions of Therefore the dimension of resistance can be given as:
    Eq 1
    Similarly, the formula for Capacitance is
    Dimension of Q: Dimensions of Therefore the dimension of Capacitance can be given as:
    Multiplying the dimensions of and from E q 1 and $E q 2 :
    So, the dimension of is .
    Hence, the correct option is 2.
     
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