A.) What is the current I? B.) How much power is dissipated by the unknown resistor R? You should have a numerical value.

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A.) What is the current I? B.) How much power is dissipated by the unknown resistor R? You should have a numerical value.
The image shows an electrical circuit diagram with the following components and parameters:

1. **Resistor Network:**
   - The circuit begins at point "a" with a current of 0.25 A.
   - The first resistor encountered has a resistance of 10 Ω.
   - Following this, the circuit branches into a parallel configuration.

2. **Parallel Branches:**
   - **First Branch:**
     - A resistor with an unknown resistance, labeled as \( R = ? \).
     - The current through this branch is specified as 0.1 A.

   - **Second Branch:**
     - A 10 Ω resistor is in series with a 5 Ω resistor.
     - The total current flowing through this combination is labeled as \( I = ? \).

3. **Series Resistor:**
   - After the branches recombine, the circuit includes a 20 Ω resistor leading to point "b".

This diagram is designed to help solve for unknown resistance \( R \) in the first branch and the unknown current \( I \) in the second branch using fundamental principles of electric circuits such as Kirchhoff's laws and Ohm's law.
Transcribed Image Text:The image shows an electrical circuit diagram with the following components and parameters: 1. **Resistor Network:** - The circuit begins at point "a" with a current of 0.25 A. - The first resistor encountered has a resistance of 10 Ω. - Following this, the circuit branches into a parallel configuration. 2. **Parallel Branches:** - **First Branch:** - A resistor with an unknown resistance, labeled as \( R = ? \). - The current through this branch is specified as 0.1 A. - **Second Branch:** - A 10 Ω resistor is in series with a 5 Ω resistor. - The total current flowing through this combination is labeled as \( I = ? \). 3. **Series Resistor:** - After the branches recombine, the circuit includes a 20 Ω resistor leading to point "b". This diagram is designed to help solve for unknown resistance \( R \) in the first branch and the unknown current \( I \) in the second branch using fundamental principles of electric circuits such as Kirchhoff's laws and Ohm's law.
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