Final answer:
To find the currents and voltages in the circuit, we can apply Ohm's Law and Kirchhoff's laws. Using Ohm's Law, we can calculate the currents IR1, IR2, IR4, and IR5. Using Kirchhoff's Voltage Law, we can calculate the voltages VR1, VR4, VR6, and VR7. The power absorbed by resistor R7 can be determined using the formula P = VI.
Step-by-step explanation:
In this circuit, we can apply Ohm's Law and Kirchhoff's laws to find the currents and voltages.
For part (a), we can use Ohm's Law, Ohm's Law states that the current through a resistor is equal to the voltage across the resistor divided by the resistance of the resistor. Using this formula, we can calculate IR1, IR2, IR4, and IR5.
For part (b), we can use Kirchhoff's Voltage Law (KVL) to analyze the voltages in the circuit. KVL states that the sum of the voltages in any closed loop in a circuit is equal to zero. Using KVL, we can calculate VR1, VR4, VR6, and VR7.
For part (c), we can calculate the power absorbed by resistor R7 using the formula P = VI, where P is the power, V is the voltage across the resistor, and I is the current flowing through the resistor.