4. Find the following expressions in the form required: Cartesian a + jb or exponential ??e^{j?}. For the exponen- tial (polar) form the angle is in degrees and between -180° and +180°. (a) (22+j (28)) + (-24+j (12)) = a + jb, __________ + j __________ (b) (22+j (28)) + (7 ∠ -160°) = ?e^{j?}, ? = __________ ? = __________ ° (c) (14 ∠ 38°) + (-24+j (12)) = ?e^{j?}, ? = __________ ? = __________ ° (d) (-12+j (-20)) - (2 ∠ 114°) = a + jb, __________ + j __________ (e) (4 ∠ -46°) - (21+j (-13)) = ?e^{j?}, ? = __________ ? = __________ °
Added by Michelle D.
Close
Step 1
- For expression a = 22+j28, it is already in Cartesian form. - For expression b = -24+j12, it is already in Cartesian form. - For expression c = 1438+-24+j12, simplify it: c = 1438 - 24 + j12 c = 1414 + j12 - For expression d = -12+j20-2114, simplify it: d Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 65 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let $\mathbf{X}=8 \angle 40^{\circ}$ and $\mathbf{Y}=10 \angle-30^{\circ} .$ Evaluate the following quantities and express your results in polar form. (a) $(\mathbf{X}+\mathbf{Y}) \mathbf{X}^{*}$ (b) $(\mathbf{X}-\mathbf{Y})^{*}$ (c) $(\mathbf{X}+\mathbf{Y}) / \mathbf{X}$
Express each of the following complex numbers in exponential polar form (i.e., the form re^iθ): iv = 72+2i and 6 Hence or otherwise, express iv3i)' (-2 + 21)" in Cartesian form (i.e., in the form a + ib), and plot this point in the complex plane. (7 marks)
Madhur L.
Sri K.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD