You have a 45/5 capacitor with +/- 6% range, and your readings are 42.4 and 4.65. What condition is the capacitor in?
A. Bad HERM and good FAN
B. Both sides are bad
C. Good HERM and bad FAN
D. Both sides are good
Answer (2)
Calculate the nominal value of the capacitor: 45/5 = 9 .
Determine the acceptable range using the tolerance: 9 ± ( 0.06 × 9 ) , which gives a range of 8.46 to 9.54.
Compare the readings to the acceptable range: 42.4 and 4.65 are both outside the range.
Conclude that both sides are bad, so the final answer is B o t h s i d es a re ba d .
Explanation
Problem Analysis We are given a capacitor with a nominal value of 45/5 = 9 and a tolerance of +/- 6%. We have two readings, 42.4 and 4.65, and we need to determine the condition of the capacitor based on these readings. The possible conditions are:
Bad HERM and good FAN
Both sides are bad
Good HERM and bad FAN
Both sides are good
Calculating Acceptable Range First, we need to calculate the acceptable range for the capacitor value based on the given tolerance. The nominal value is 9, and the tolerance is 6%, so we calculate the upper and lower limits of the acceptable range.
Upper Limit = Nominal Value + (Tolerance * Nominal Value) Lower Limit = Nominal Value - (Tolerance * Nominal Value)
Nominal Value = 45/5 = 9 Tolerance = 6% = 0.06
Upper Limit = 9 + ( 0.06 ∗ 9 ) = 9 + 0.54 = 9.54 Lower Limit = 9 − ( 0.06 ∗ 9 ) = 9 − 0.54 = 8.46
Comparing Readings with Acceptable Range Now, we compare the given readings with the acceptable range (8.46 to 9.54) to determine if each side (HERM and FAN) is good or bad.
Reading 1 (HERM) = 42.4 Reading 2 (FAN) = 4.65
For HERM side: Since 42.4 is not within the range of 8.46 to 9.54, the HERM side is bad.
For FAN side: Since 4.65 is not within the range of 8.46 to 9.54, the FAN side is bad.
Determining the Condition of the Capacitor Based on the comparison, both the HERM and FAN sides are bad. Therefore, the condition of the capacitor is 'Both sides are bad'.
Examples
Capacitors are essential components in many electronic devices, from smartphones to refrigerators. Understanding their condition is crucial for troubleshooting and maintaining these devices. For example, if a device is not functioning correctly, checking the capacitor values and comparing them to their specified tolerance range can help identify faulty components. This ensures the device operates efficiently and reliably, preventing potential failures and extending its lifespan. By understanding capacitor ratings and tolerance, technicians can quickly diagnose and replace defective capacitors, restoring the device to its proper working condition.
The capacitor has a nominal value of 9 and an acceptable range of 8.46 to 9.54. Given the readings of 42.4 and 4.65, both sides (HERM and FAN) of the capacitor are outside the acceptable range. Hence, both sides are classified as bad.
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