Recent content by SiennaB

Cheers.

Thanks for all your help!

Zero I suppose. I guess that means the voltage (relative to the -ve battery terminals) at the positive terminal of the off diode is 10V. The other voltage is 3V. So their difference is 7V. Are the negative terminals of each battery both at ground? If the 3V battery isn't grounded, then the...

I'm confused about how to do that because no current flows through the 10V battery and the 4k resistor when diode D1 is off.

Do you know how they got the diode voltages, 7V and -3V, in my previous attachment? Thanks again.

Great, thanks for your reply.

Great, thanks.

Thanks so much. One last question sorry: If I get a contradiction to one diode but not the other, which is what happened in (b), then this doesn't necessarily mean that I have one diode state correct does it? It just means that my combination of on/off diode states was wrong and to try another...

Thanks, I see what you mean. I found this example that shows how to work out whether a diode is conducting, but I'm not sure about their reasoning. Are they saying that "if you assume a diode is off and you then get a positive voltage across it, then the diode is actually on", and "if you assume...

Homework Statement Can Kirchhoff's voltage and current laws, and Ohm's law, be used when analysing circuits with constant voltage and current sources, but also diodes? I'm trying to analyse such a circuit, and I'm finding that current is flowing backwards through one of the diodes...

Thanks for your reply. If I remove the centre branch, then the current throughout the circuit is just i = 5mA. The voltages (relative to ground) at the former connection points are: * V_A = voltage across resistor R_1 = i*R_1 = 5mA*1k ohm = 5V. * V_B = 10V - voltage across diode D_2 = 10V...

Thanks for your reply. At the top of my solution, I've written that V_5 is the voltage drop across the current source and that I've assumed a 0.6V drop across the diodes. Here is extra working for my KVL equations: For left loop: -(voltage drop across R_2) - (voltage drop across D_1) +...

Homework Statement This isn't a homework question, just one I can't get the correct answer to. The circuit diagram is attached, and I need to find the voltage at V. The Attempt at a Solution Assume the voltage drop across each diode is 0.6V. Let V_5 be the voltage drop across the current...

Thank you for your reply. The next part of the question is to show that T is not invertible, so I can't use that fact. T would be surjective if its image equalled its range, but the question defines these to be equal (under heading 2 in the original post), so T is already surjective. I'm not...

Homework Statement Let H be an \infty-dimensional Hilbert space and T:H\to{H} be an operator. Show that if T is compact, bounded and has closed range, then T has finite rank. Do not use the open-mapping theorem. Let B(H) denote the space of all bounded operators mapping H\to{H}, K(H) denote...