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R, L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combinations has dimension of frequency?
- a)1/√RC
- b)R/L
- c)1/LC
- d)C/L
Correct answer is option 'B'. Can you explain this answer?
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R, L and C represent the physical quantities resistance, inductance an...
(RLC)
b) (RC/L)
c) (L/RC)
d) (1/RC)
The correct answer is d) (1/RC).
To determine the dimensions of frequency, we can use the formula for the frequency of an RLC circuit:
f = 1/(2π√(LC))
R represents resistance, which has dimensions of ohms (Ω).
L represents inductance, which has dimensions of henries (H).
C represents capacitance, which has dimensions of farads (F).
Substituting these dimensions into the formula, we get:
f = 1/(2π√((H)(F)))
Simplifying, we can see that the units cancel out to leave us with:
f = 1/(s)
This means that the dimension of frequency is 1/time, or simply inverse seconds (s^-1).
Out of the given combinations, only option d) (1/RC) has the correct dimensions for frequency, since R and C are in the numerator and denominator respectively and cancel each other out to leave only the inverse of time.
b) (RC/L)
c) (L/RC)
d) (1/RC)
The correct answer is d) (1/RC).
To determine the dimensions of frequency, we can use the formula for the frequency of an RLC circuit:
f = 1/(2π√(LC))
R represents resistance, which has dimensions of ohms (Ω).
L represents inductance, which has dimensions of henries (H).
C represents capacitance, which has dimensions of farads (F).
Substituting these dimensions into the formula, we get:
f = 1/(2π√((H)(F)))
Simplifying, we can see that the units cancel out to leave us with:
f = 1/(s)
This means that the dimension of frequency is 1/time, or simply inverse seconds (s^-1).
Out of the given combinations, only option d) (1/RC) has the correct dimensions for frequency, since R and C are in the numerator and denominator respectively and cancel each other out to leave only the inverse of time.
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R, L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combinations has dimension of frequency?a)1/√RCb)R/Lc)1/LCd)C/LCorrect answer is option 'B'. Can you explain this answer?
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