Consider this circuit and calculate the desired currents using exact analysis. β = 100.

To effectively answer your question regarding the calculation of desired currents in a circuit involving a transistor with $\beta = 100$, please follow the structured series of steps below. However, please provide a circuit diagram or additional details about the specific configuration and components in the circuit for precise calculations.

1. Break Down the Problem

1. Identify the configuration of the circuit (common emitter, common collector, etc.)
2. Determine the circuit elements involved (resistors, voltage sources, etc.)
3. Identify the nodes and the reference point (ground).
4. Define the desired currents to be calculated (e.g., base current $I_B$, collector current $I_C$, emitter current $I_E$).

2. Relevant Concepts

1. Use Kirchhoff's laws:
   • Kirchhoff's Voltage Law (KVL) for loop analysis.
   • Kirchhoff's Current Law (KCL) at junctions.
2. Apply transistor current relationships: $I_C = \beta I_B$ $I_E = I_C + I_B$

3. Analysis and Detail

1. Write the equations based on KVL and KCL using the identified components and nodes.
2. Express $I_B$ in terms of the applied voltage and resistances.
3. Use the transistor relationships to express $I_C$ and $I_E$.

4. Verify and Summarize

1. After calculating $I_B$, $I_C$, and $I_E$, substitute back into the equations to confirm that they hold true under KCL and KVL.
2. Summarize the results, highlighting the calculated values of the desired currents.

Final Answer

The final answer will include the exact calculated values for $I_B$, $I_C$, and $I_E$ based on the circuit configuration provided. Please supply more information regarding the circuit to enable precise calculations.