Question

you have a 10vdg source available design a voltage divider ciruit that has 2 vdc , 5vdc , and 8 vdc available the total circuit current is to be 2mA

Answer 1

If you try to divide 10V in three voltages, the sum of the three voltages must be equal to the total voltage source, in this case 10V. Having said this, 2 + 5 + 8 = 15V, and your source is only 10V. So you can see is not feasible. You can, for example, have 2V, 5V and 3V, and the sum is equal to 10V. Before designing the circuit, i.e, choosing the resistors, you need to understand this. Otherwise, I suggest you to review the voltage divider theory.

For instance, see IMG2 in my previous post. If we were to design a single voltage divider for the 5VDC, i.e, 50% of the 10V source, you generally choose R1 = R2., and that would be the design equation.