Solve 11+j(2000*0.015-1/2000*70*10^-6)

$$11 + j ( 2000 \times 0.015 - \frac { 1 } { 2000 \times 70 \times 10 ^ { - 6 } } )$$

Evaluate

$$\frac{160j}{7}+11$$

Solution Steps

Multiply 2000 and 0.015 to get 30.

$$11+j\left(30-\frac{1}{2000\times 70\times 10^{-6}}\right)$$

Multiply 2000 and 70 to get 140000.

$$11+j\left(30-\frac{1}{140000\times 10^{-6}}\right)$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$11+j\left(30-\frac{1}{140000\times \frac{1}{1000000}}\right)$$

Multiply 140000 and \frac{1}{1000000} to get \frac{7}{50}.

$$11+j\left(30-\frac{1}{\frac{7}{50}}\right)$$

Divide 1 by \frac{7}{50} by multiplying 1 by the reciprocal of \frac{7}{50}.

$$11+j\left(30-1\times \frac{50}{7}\right)$$

Multiply 1 and \frac{50}{7} to get \frac{50}{7}.

$$11+j\left(30-\frac{50}{7}\right)$$

Subtract \frac{50}{7} from 30 to get \frac{160}{7}.

$$11+j\times \frac{160}{7}$$

Expand

$$\frac{160j}{7}+11$$

Solution Steps

Multiply 2000 and 0.015 to get 30.

$$11+j\left(30-\frac{1}{2000\times 70\times 10^{-6}}\right)$$

Multiply 2000 and 70 to get 140000.

$$11+j\left(30-\frac{1}{140000\times 10^{-6}}\right)$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$11+j\left(30-\frac{1}{140000\times \frac{1}{1000000}}\right)$$

Multiply 140000 and \frac{1}{1000000} to get \frac{7}{50}.

$$11+j\left(30-\frac{1}{\frac{7}{50}}\right)$$

Divide 1 by \frac{7}{50} by multiplying 1 by the reciprocal of \frac{7}{50}.

$$11+j\left(30-1\times \frac{50}{7}\right)$$

Multiply 1 and \frac{50}{7} to get \frac{50}{7}.

$$11+j\left(30-\frac{50}{7}\right)$$

Subtract \frac{50}{7} from 30 to get \frac{160}{7}.

$$11+j\times \frac{160}{7}$$