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Which is not the dimensions of frequency? (R = resistance, L = inductance, C = capacitance)
- a)1/√LC
- b)1/RC
- c)C/L
- d)R/L
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which is not the dimensions of frequency? (R = resistance, L = inducta...
- The frequency of oscillations generated by the LC circuit entirely depends on the values of the capacitor and inductor and their resonance condition.
- It can be expressed as:
Where L = Inductor and C = capacitor
From the above, it is clear that the dimension of C/L not the dimensions of frequency.
Most Upvoted Answer
Which is not the dimensions of frequency? (R = resistance, L = inducta...
1. **Dimensions of Frequency**:
Frequency is a measure of how often an event occurs in a repeating set of time intervals. In electrical circuits, frequency is related to resistance (R), inductance (L), and capacitance (C) through various formulas.
2. **Given Options**:
- a) 1/√LC
- b) 1/RC
- c) C/L
- d) R/L
3. **Analysis**:
- Option a) 1/√LC represents the inverse of the square root of the product of capacitance and inductance, which is a valid dimension of frequency.
- Option b) 1/RC corresponds to the inverse of the product of resistance and capacitance, which is also a valid dimension of frequency.
- Option d) R/L represents the ratio of resistance to inductance, which is another valid dimension of frequency.
4. **Identifying the Incorrect Option**:
- Option c) C/L stands out as the incorrect dimension of frequency. This expression does not represent a valid relationship between capacitance and inductance in the context of frequency.
5. **Conclusion**:
- Among the given options, the dimension C/L does not correspond to the dimensions of frequency in electrical circuits. The correct dimensions of frequency involve combinations of resistance, inductance, and capacitance in various mathematical relationships.
Frequency is a measure of how often an event occurs in a repeating set of time intervals. In electrical circuits, frequency is related to resistance (R), inductance (L), and capacitance (C) through various formulas.
2. **Given Options**:
- a) 1/√LC
- b) 1/RC
- c) C/L
- d) R/L
3. **Analysis**:
- Option a) 1/√LC represents the inverse of the square root of the product of capacitance and inductance, which is a valid dimension of frequency.
- Option b) 1/RC corresponds to the inverse of the product of resistance and capacitance, which is also a valid dimension of frequency.
- Option d) R/L represents the ratio of resistance to inductance, which is another valid dimension of frequency.
4. **Identifying the Incorrect Option**:
- Option c) C/L stands out as the incorrect dimension of frequency. This expression does not represent a valid relationship between capacitance and inductance in the context of frequency.
5. **Conclusion**:
- Among the given options, the dimension C/L does not correspond to the dimensions of frequency in electrical circuits. The correct dimensions of frequency involve combinations of resistance, inductance, and capacitance in various mathematical relationships.
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Which is not the dimensions of frequency? (R = resistance, L = inductance, C = capacitance)a)1/√LCb)1/RCc)C/Ld)R/LCorrect answer is option 'C'. Can you explain this answer?
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