1. Four resistors R1, R2,
R3,
and R4
are connected in parallel. A drop of the electric potential on the resistor R1
is V1.
Derive an algebraic expression for the drop of the electric potential on the
resistor R4 in the terms
of R1,
R2,
R3,
R4,
and V1.
2. Four resistors R1, R2, R3, and R4 are connected in series. An electric current through the resistor R1 is I1. Derive an algebraic expression for the electric current through the resistor R4 in the terms of R1, R2, R3, R4, and I1.
3. Four resistors R1, R2, R3, and R4 are connected in series. A drop of the electric potential on the resistor R1 is V1. Derive an algebraic expression for the drop of the electric potential on the resistor R4 in the terms of R1, R2, R3, R4, and V1.
4. Four resistors R1, R2, R3, and R4 are connected in parallel. An electric current through the resistor R1 is I1. Derive an algebraic expression for the electric current through the resistor R4 in the terms of R1, R2, R3, R4, and I1.
5. Four resistors with known resistances R1, R2, R3, and unknown R4 are connected in series. An equivalent resistance is R. Derive an algebraic expression for the unknown resistance R4 in the terms of known parameters.
6. Four resistors with known resistances R1, R2, R3, and unknown R4 are connected in parallel. An equivalent resistance is R. Derive an algebraic expression for the unknown resistance R4 in the terms of known parameters.
7. Four resistors with known resistances R1, R2, R3, and unknown R4 are connected in series to a battery with a known terminal voltage V. The total power P of electric energy being dissipated in all resistors is known. Derive an algebraic expression for the unknown resistance R4 in the terms of known parameters.
8. Four resistors with known resistances R1, R2, R3, and unknown R4 are connected in parallel to a battery with a known terminal voltage V. The total power P of electric energy being dissipated in all resistors is known. Derive an algebraic expression for the unknown resistance R4 in the terms of known parameters.
