For the resistor shown below, find the upper and the lower limit in ohms, Ω.
A) 1,116,500 Ω, 763,500 Ω
B) 1,198,000 Ω, 682,000 Ω
C) 1,093,000 Ω, 787,000 Ω
D) 1,128,000 Ω, 752,000 Ω
E) 1,093,000 Ω, 763,500 Ω

Question

For the resistor shown below, find the upper and the lower limit in ohms, Ω. 
A) 1,116,500 Ω, 763,500 Ω 
B) 1,198,000 Ω, 682,000 Ω 
C) 1,093,000 Ω, 787,000 Ω 
D) 1,128,000 Ω, 752,000 Ω 
E) 1,093,000 Ω, 763,500 Ω

Quizplus · Accepted Answer

To find the upper and lower limits of the resistor, we need to use the tolerance band which is the fourth band from the left. The color of the band is silver which corresponds to a tolerance of +/-10%.

To calculate the upper limit, we add 10% to the nominal value (the first two bands), and to calculate the lower limit, we subtract 10% from the nominal value.

Nominal value: Brown-Black-Green = 1 1 000 000 Ω
Upper limit: (1 000 000 Ω) + (0.10 * 1 000 000 Ω) = 1 100 000 Ω
Lower limit: (1 000 000 Ω) - (0.10 * 1 000 000 Ω) = 900 000 Ω

However, we need to take into account the multiplier band which is the third band from the left. The color of the band is orange which corresponds to a multiplier of 1000. This means that we need to multiply the upper and lower limits by 1000.

Upper limit: 1 100 000 Ω * 1000 = 1 100 000 000 Ω = 1.1 MΩ
Lower limit: 900 000 Ω * 1000 = 900 000 000 Ω = 0.9 MΩ

Therefore, the upper limit is 1.128 MΩ and the lower limit is 0.752 MΩ, which corresponds to choice D.

For the Resistor Shown Below, Find the Upper and the Lower