How much MVAR will Line A (100 miles long, 500 kV) contribute if Line B (10 miles long, 500 kV) contributes 3.2 MVAR?

The situation describes two transmission lines with different lengths but the same voltage level. Given that Line B contributes 3.2 MVAR over a length of 10 miles, we can determine the reactive power contribution relative to the length of the lines.

Understanding the relationship between line length and MVAR contribution is critical. Normally, the longer the transmission line, the more reactive power (MVAR) it can contribute, assuming similar electrical characteristics and conditions. This is due to increased inductive effects over longer distances, which leads to a higher reactance.

Thus, when we analyze Line A, which is significantly longer at 100 miles, we can infer that its contribution to reactive power (MVAR) will be much greater than that of Line B simply because it is ten times longer. If Line B generates 3.2 MVAR for its 10 miles, it stands to reason that Line A would contribute proportionately more because it has the added length to support that increased MVAR generation.

Line A's contribution would typically be calculated based on the per-mile MVAR contribution demonstrated by Line B, multiplied by the length of Line A. Given that the value for Line B is already known, we can multiply this by a factor that reflects the increased