Solve 800*Omega*500kOmega/800kOmega+500kOmega

$$\frac { 800 \times \Omega \times 500 k \Omega } { 800 k \Omega + 500 k \Omega }$$

Evaluate

$$\frac{4000\Omega }{13}$$

Solution Steps

Multiply \Omega and \Omega to get \Omega ^{2}.

$$\frac{800\Omega ^{2}\times 500k}{800k\Omega +500k\Omega }$$

Multiply 800 and 500 to get 400000.

$$\frac{400000\Omega ^{2}k}{800k\Omega +500k\Omega }$$

Combine 800k\Omega and 500k\Omega to get 1300k\Omega .

$$\frac{400000\Omega ^{2}k}{1300k\Omega }$$

Cancel out 100k\Omega in both numerator and denominator.

$$\frac{4000\Omega }{13}$$

Differentiate w.r.t. Ω

$$\frac{4000}{13} = 307\frac{9}{13} = 307.6923076923077$$