(a) Interpretation: The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated. Concept introduction: The capacitive reactance (X c ) is a property of a capacitor that is analogous to the resistance of a resistor. X c = V p I p = 1 ω C ω = frequency C = capacitance The impedance (Z) is given by following equation: Z = R 2 + X 2 C X c = capacitive reactance R = resistance The phase angle ( ϕ ) is given by following equation: ϕ = arctan X C R X c = capacitive reactance R = resistance

BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213
BuyFind

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

Solutions

Chapter 2, Problem 2.18QAP
Interpretation Introduction

(a)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation:

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation:

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(b)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation:

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation:

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(c)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation:

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation:

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(d)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation;

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation;

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(e)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation:

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation:

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(f)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation;

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation;

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(g)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation;

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation;

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(h)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation:

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation:

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Interpretation Introduction

(i)

Interpretation:

The capacitive reactance, the impedance and the phase angle ϕ for the series RC circuit should be calculated.

Concept introduction:

The capacitive reactance (Xc) is a property of a capacitor that is analogous to the resistance of a resistor.

Xc=VpIp=1ωC

ω = frequency

C = capacitance

The impedance (Z) is given by following equation:

Z = R2+X2C

Xc = capacitive reactance

R = resistance

The phase angle ( ϕ ) is given by following equation:

ϕ=arctanXCR

Xc = capacitive reactance

R = resistance

Want to see the full answer?

Check out a sample textbook solution.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.