### Solution Found!

# pathway for a binary electrical signal between gates in an

**Chapter 3, Problem 3E**

(choose chapter or problem)

**QUESTION:**

pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as in Figure 3.13(b); the voltage source models the transmitting gate, and the capacitor models the receiving gate. Typically, the resistance is 100 ?, and the capacitance is very small, say, 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 5 V, how long will it take for the voltage at the receiving gate to reach (say) 3 V? (This is the time it takes to transmit a logical “1.”)

### Questions & Answers

**QUESTION:**

pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as in Figure 3.13(b); the voltage source models the transmitting gate, and the capacitor models the receiving gate. Typically, the resistance is 100 ?, and the capacitance is very small, say, 10-12 F (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 5 V, how long will it take for the voltage at the receiving gate to reach (say) 3 V? (This is the time it takes to transmit a logical “1.”)

**ANSWER:**

SOLUTIONStep 1Given capacitance C = Resistance R = Initial charge Voltage supplied to the circuit (E) = 5v