NivaarExam Prep

22-Elec-A1 Circuits

Worked solutions to 14 past sittings (2013–2019), 84 questions. Pick a sitting, or start from a topic below.

Topics across the sittings

Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.

Questions by sitting

December 2019

  1. Question 1: Ladder network — equivalent resistance and node voltage
  2. Question 2: Node‑voltage analysis of a four‑node network
  3. Question 3: First‑order RC transient after a switch opens
  4. Question 4: Thévenin equivalent and maximum power transfer (AC)
  5. Question 5: Capacitor voltage by superposition
  6. Question 6: Second‑order transient by the Laplace transform

December 2018

  1. Question 1: Bridge network — equivalent resistance, current and power
  2. Question 2: Superposition
  3. Question 3: First-order RC switching transient
  4. Question 4: Maximum power transfer with a dependent source
  5. Question 5: AC node-voltage analysis and source power
  6. Question 6: Second-order RLC transient by Laplace

May 2018

  1. Question 1: Equivalent resistance and branch current
  2. Question 2: Node-voltage analysis with a dependent source
  3. Question 3: First-order RC transient
  4. Question 4: AC mesh analysis in the phasor domain
  5. Question 5: Thévenin equivalent and maximum power transfer
  6. Question 6: Laplace (s-domain) analysis of an RLC circuit

December 2017

  1. Question 1: Equivalent resistance, source and branch currents
  2. Question 2: Node-voltage analysis with a dependent source
  3. Question 3: First-order RC switching transient
  4. Question 4: AC steady-state phasor analysis
  5. Question 5: Thévenin equivalent and maximum power transfer (AC)
  6. Question 6: Laplace (s-domain) solution of a series RLC

May 2017

  1. Question 1: Equivalent resistance, source current and a branch current
  2. Question 2: Mesh analysis with a dependent source
  3. Question 3: First-order $RL$ transient (switch closes)
  4. Question 4: AC steady-state analysis and phasor diagram
  5. Question 5: Thévenin equivalent and maximum power transfer
  6. Question 6: Laplace (s-domain) step response

December 2016

  1. Question 1: Equivalent resistance and loaded node voltage
  2. Question 2: Mesh equations and the 20 V source current
  3. Question 3: First-order RC switching transient
  4. Question 4: AC nodal analysis and the capacitor current
  5. Question 5: Thévenin equivalent and maximum power transfer
  6. Question 6: Laplace-domain step-like response

May 2016

  1. Question 1: Equivalent resistance and source loading
  2. Question 2: Thévenin equivalent with a dependent source, maximum power
  3. Question 3: First-order RC switching transient
  4. Question 4: AC steady-state mesh analysis (phasors)
  5. Question 5: AC power — supply current, power factor, complex power
  6. Question 6: Second-order transient via the Laplace transform

December 2015

  1. Question 1: Bridge network — source current
  2. Question 2: AC nodal analysis with a floating source (supernode)
  3. Question 3: Source-free LC circuit — initial conditions and damping
  4. Question 4: AC power and power-factor correction
  5. Question 5: Thévenin equivalent and maximum power transfer
  6. Question 6: Laplace-domain transfer function and step response

May 2015

  1. Question 1: Mesh analysis of a four-mesh DC network
  2. Question 2: First-order RC switching transient
  3. Question 3: AC nodal analysis with a floating source
  4. Question 4: AC power — source current, voltage and power triangle
  5. Question 5: Thévenin equivalent and maximum power transfer
  6. Question 6: Laplace-domain analysis of a second-order network

December 2014

  1. Question 1: DC bridge network — equivalent resistance, current and power
  2. Question 2: Mesh analysis with a current source in the shared branch
  3. Question 3: First-order RL transient — switch opening
  4. Question 4: Superposition with two different-frequency sources
  5. Question 5: AC Thévenin equivalent and maximum power transfer
  6. Question 6: Laplace-domain solution of a switched RL circuit

May 2014

  1. Question 1: DC nodal analysis with a supernode
  2. Question 2: First-order RL switching transient
  3. Question 3: AC mesh analysis, power factor and source power
  4. Question 4: Thévenin equivalent and maximum power (AC)
  5. Question 5: Second-order filter — resonance, gain and cut-off
  6. Question 6: Step response by Laplace transform

December 2013

  1. Question 1: Nodal analysis with a supernode
  2. Question 2: First-order RC switching transient
  3. Question 3: AC mesh analysis with current sources
  4. Question 4: Thévenin equivalent and maximum power (AC)
  5. Question 5: Resonance and half-power bandwidth
  6. Question 6: Laplace-domain transient analysis

May 2013

  1. Question 1: Source voltage, Thevenin equivalent & maximum power
  2. Question 2: Node-voltage analysis
  3. Question 3: Mesh-current analysis
  4. Question 4: First-order RC switching transient
  5. Question 5: AC power and power-factor correction
  6. Question 6: Laplace-domain RLC response

Undated paper

  1. Question 1: Equivalent resistance and branch currents of a bridge network
  2. Question 2: Node-voltage analysis with a floating source (supernode)
  3. Question 3: First-order RC switching transient
  4. Question 4: Thévenin equivalent with a controlled source, and maximum power transfer
  5. Question 5: AC node-voltage analysis
  6. Question 6: Second-order transient by the Laplace method