Can I replace Vo with V-10/25 ?gneill said:
Do you mean (V-10)/25? (Order of operations is important). No, that would be the branch current flowing from v towards the 10 V source. But that's a start. What would be Vo in terms of that current?sammyqw said:
it would be some current i = Vo/20 ?gneill said:
That's the idea. But you've already identified the branch current in post #3.sammyqw said:
Can I do i=10/25 = 0.4A then find Vo= (0.4)20 =8V and then just replace it in my equation 2?gneill said:
No because the battery voltage is not across the branch. What is an expression for the branch current (you wrote one as a term in your node equation!)?sammyqw said:
Vc(0) is the voltage at node C at time t=0. In other words, it is the initial voltage at node C in a circuit.
Vc(0) can be calculated using node analysis by first applying Kirchhoff's Current Law (KCL) to the node C, which states that the sum of currents entering a node is equal to the sum of currents leaving the node. This will result in an equation that can be solved for Vc(0) using Ohm's Law and any other relevant equations for the circuit.
Finding Vc(0) allows us to determine the voltage at a specific node in a circuit at a specific point in time. This information is crucial in analyzing and designing circuits, as it helps us understand the behavior of the circuit and make necessary adjustments.
Yes, Vc(0) can be negative. This means that the voltage at node C is in the opposite direction of the assumed direction in the circuit. It is important to pay attention to the signs of the values in the equations when solving for Vc(0) to ensure accurate results.
Ohm's Law is used in conjunction with other circuit analysis methods, such as node analysis, to find Vc(0). Ohm's Law states that the voltage across a resistor is equal to the product of its resistance and the current flowing through it. In node analysis, we use this relationship to determine the voltage at a specific node in a circuit.